Find all the zeroes of polynomial 2x4
– 9x3 + 5x2 + 3x – 1 ,if two of its zeroes are 2 + √3 & 2 - √3

Answers

Answer 1

9514 1404 393

Answer:

  x ∈ {-1/2, 1, 2-√3, 2+√3}

Step-by-step explanation:

The given zeros mean that one of the quadratic factors of the given polynomial is ...

  (x -2)^ -3 = x^2 -4x +1

When that is factored out (see first attachment), the remaining quadratic is ...

  2x^2 -x -1

This can be factored as ...

  = (2x +1)(x -1)

which has roots that make these factors zero: x = -1/2, x = 1.

So, all of the zeros of the given polynomial are ...

  -1/2, 1, 2-√3, 2+√3 . . . all zeros

__

A graphing calculator can often point to the zeros of the function quite nicely.

_____

Additional comments

When p is a zero of a polynomial, (x-p) is a factor of it. The given zeros mean that factors are (x-2-√3) and (x-2+√3). The product of these factors is the difference of the squares (x-2)^2 and (√3)^2, so is (x -2)^2 -3.

Using the pattern for the square of a binomial, we see this is ...

  (x-2)^2 = x^2 -2·2x +2^2 = x^2 -4x +4

The product of the given factor is then 3 subtracted from this square. The given zeros mean there is a quadratic factor of ...

  (x-2-√3)(x-2+√3) = (x-2)^2 -3 = x^2 -4x +4 -3 = x^2 -4x +1

Find All The Zeroes Of Polynomial 2x4 9x3 + 5x2 + 3x 1 ,if Two Of Its Zeroes Are 2 + 3 & 2 - 3
Find All The Zeroes Of Polynomial 2x4 9x3 + 5x2 + 3x 1 ,if Two Of Its Zeroes Are 2 + 3 & 2 - 3

Related Questions

PLEASE ANSWER, NO LINKS

Answers

Answer:

D P/B=T

Step-by-step explanation:

Prove or disprove that the point (51−−√, 7) lies on the circle centered at the origin and containing the point (6, 8).

Answers

Answer:

Yes, it lies on the circle.

Step-by-step explanation:

The actual question is:

"Prove or disprove that the point (√51, 7) lies on the circle centered at the origin and containing the point (6, 8)."

The equation of a circle of radius R and centered at the point (a, b) is:

(x - a)^2 + (y - b)^2  = R^2

In this case we have a circle centered at the origin, then: (a, b) = (0, 0)

And the equation becomes:

(x - 0)^2 + (y  - 0)^2 = R^2

x^2 + y^2 = R^2

We also know that this circle contains the point (6, 8), then we can find the radius of our circle if we replace x by 6 and y by 8.

6^2 + 8^2 = R^2

100 = R^2

√100 = 10 = R

Then the circle equation is:

x^2 + y^2 = 10^2

Now let's see if the point (√51, 7) is a solution of the above equation:

(√51)^2 + ( 7)^2 = 10^2 = 100

51 + 49 = 100

100 = 100

This is true, so we can conclude that (√51, 7) is a solution of the circle equation, so the point lies on the defined circle.

show your work
B= 47, a = 20, c = 24

Answers

Answer:

Im lost what is this

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

a+b-c

20+47-24

67-24

43

Write a function for the line that includes the points (4,−5) and (8,−7).

Answers

Answer:imma try to help you

Step-by-step explanation:

The function for the line can be written as F(x) = -(1/2)x - 3.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that line that includes the points (4,−5) and (8,−7).

The slope will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -7 +5  ) / ( 8 - 4)

Slope = -2 / 4= -1/2

The y-intercept will be calculated as,

y = mx + c

-7 = -1/2 x 8 + c

-7 = -4 + c

c = -3

The equation can be written as,

y = mx + c

y= -1/2(x) - 3

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What is the lateral surface area?
7 A cylindrical pipe measures 18 inches and has a diameter of 1 inch. How many square inches of metal
are used to make the pipe, which is open on both ends? Round your answer to the nearest hundredth.

Answers

Answer:

56.556 square inches

Step-by-step explanation:

Surface area of an open cylindrical pipe is = πdh

3.142 × 1 × 18 = 56.556

Ray invested $300 in Stock A
and $750 in Stock B. Since then,
the value of Stock A has increased
by 15% each year and the value of
Stock B has decreased by 12% each
year. After 4 years, which statement
is true regarding the value of
his investments?

Answers

The claim that Stock A is worth $74.93 more than Stock B is accurate regarding the value of his investments after 4 years is

What is meant by value?Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Location value plus face value equals value. For illustration: If we take 45 into account. Here, the fourth digit is in the tens column. The value a digit in a number represents based on where it is in the number is known as place value. For instance, 700 is the place value of 7 in 3,743. Nevertheless, 7,000 or 7,000 is the place value of 7 in 7,432.

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\dfrac{x^2}{46}+\dfrac{(y+8)^2}{26}=1 46 x 2 ​ + 26 (y+8) 2 ​ =1start fraction, x, squared, divided by, 46, end fraction, plus, start fraction, left parenthesis, y, plus, 8, right parenthesis, squared, divided by, 26, end fraction, equals, 1 What are the foci of this ellipse? Choose 1 answer:

Answers

Answer:

The focus of the ellipse are;

(-12·√(10), -8) and (12·√(10), -8)

Step-by-step explanation:

The given equation for the ellipse is presented as follows;

[tex]\dfrac{x^2}{46} + \dfrac{(y + 8)^2}{26} = 1[/tex]

From the general equation of the ellipse, we have;

[tex]\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]

The focus of the ellipse are, (h - c₁, k) and (h + c₁, k)

By comparison, we get;

h = 0, k = -8, a = 46, b = 26

We have;

c² = a² - b²

c² = 46² - 26² = 1440

c = 12·√(10)

The focus of the ellipse are therefore;

(0 - 12·√(10), -8) = (-12·√(10), -8), and (0 + 12·√(10), -8) = (12·√(10), -8).

540g and 2 kg
ok solve this question​

Answers

Answer: Step-by-step explanation:

540g and 2 kg=2540g

what is a non example substitution method?

Answers

Answer:

The substitution method consists of solving for in one of the equations, basically the one that is easiest, and substituting the resulting expression in the other. With this, the second equation is converted into a linear equation with one unknown, which is solved by simply solving for.

Step-by-step explanation:

l hope and this can help you

Find the area of the circle.
50.24 in?
803.84 in?
d= 8 in.
25.12 in?
12.56 in?
200.96 in?

Answers

Answer:

The answer is 50.24

Step-by-step explanation:

Equation is: 3.14 times 4²

Radius is 1/2 the diameter

Which point does not pass through?
10 Points

Answers

Answer:

C  ( 9 , 15)

Step-by-step explanation:

The answer is c the point will not pass through the graph at points c(9,5)

An elevator goes down 3 floors, up 5 floors, and finally down 7 floors, Write an expression that represents the total number of floors the elevator traveled

Answers

Answer: -5

Step-by-step explanation:so the elwvator goes down 3 floors so -3+5-7=-5 because 3-5=2 and 2-7=-5 hope this helps

Including the floor, how many faces are there?

Answers

6 because you count all of the sides

Place these numbers in order from least to greatest: -4.5, 6, 5.7, 0, -2, -14

Answers

Answer:

-14, -4.5, -2, 0, 5.7, 6

Step-by-step explanation:

what is perimeter? what is area?​

Answers

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

if the polygon is a decagon, then it has ____sides?​

Answers

Answer:

10 sides

Step-by-step explanation:

Deca means 10 (decameter/decahedron/decagon)

Answer: 10 sides

Step-by-step explanation:

There are a list of suffixes for a "-gon"

- Pentagon=5 sides

- Hexagon=6 sides

- Heptagon=7 sides

- Octagon=8 sides

- Nonagon=9 sides

- Decagon=10 sides

- Hendecagon=11 sides

- Dodecagon=12 sides

Therefore, if the polygon is a decagon, then it has 10 sides

Hope this helps!! :)

Please let me know if you have any questions

funniest thing you'll see all day

Answers

Answer:

My dog getting smacked allot by my cat ( my cat was bullying my dog all day XD) 1 thanks = one less smack for the dog lol

Step-by-step explanation:

Me kat (cat) was mewing all day. Me go to market to buy his favourite food (fish).Me comes home. Me takes time to prepare fish. Me gives kat fish. He throw away fish and insult me with some more mews

Please help!!
Find the radius

Answers

Answer:

The radius is 20 units.

Step-by-step explanation:

(r)^2 + 21^2 = (r+9)^2

r^2 + 441 = r^2 + 18r + 81

360 - 18r = 0

360 = 18r

20 = r

Shannon participated in a national math contest by taking a math test. The test results followed a normal distribution with a mean score of 72.6 points out of 100 and a standard deviation of 8.7. Shannon received a score of 81 points. Shannon thinks she performed better than 68% of the students in the contest

Answers

Answer:

.

Step-by-step explanation:

Use the formula to find

Answers

Answer:

5525

Step-by-step explanation:

Using the formula with n = 25 , then

[tex]\frac{25(26)(50+1)}{6}[/tex]

= [tex]\frac{25(26)(51)}{6}[/tex]

= [tex]\frac{33150}{6}[/tex]

= 5525

Solve the system of equations. y = 3x + 2 y = -4 y = -4​

Answers

Answer:

y = x^2 i think

Step-by-step explanation:

graph{y=3x-2 [-10, 10, -5, 5]}

Explanation:

This equation is in the form

y

=

m

x

+

b

so the line is linear.

To graph this equation, all you have to do is figure out two things, the slope and the y-intercept.

The 3x is the slope and -2 is the y-intercept

What is the slope of the line passing through the points (-5, -4) and (-1, 6)?
A.2/5
B.-5/2
C.-2/5
D.5/2

Answers

Answer:

5/2

Step-by-step explanation:

Find the Interquartile Range (IQR) of the data set.

5, 2, 3, 4, 7, 9, 8, 10, 12, 8, 7

Answers

Answer:

5

Step-by-step explanation:

find the area of each figure. Round your answers to the nearest hundredth 7-10​

Answers

Answer:

7.

area of parallelogram=base×height=19×7.8=148.2yd²

8.

area of semi circle=1/2[π(d/2)²]=

π×44²/8=760.265in²

9.

area of rectangle =length ×breadth

=16.4×11.8=193.52ft²

10.

area of triangle =1/2 ×base×height=1/2×20.4×14.6=148.92in²

Area of the given shapes are:

parallelogram: 148.2yd²Rectangle:  193.52 ft²Semicircle: 760.265 in²triangle: 148.92 in²

What is Area?

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

Given, Four shapes and we need to calculate the area.

For parallelogram:

area of parallelogram = base×height

area of parallelogram = 19×7.8 = 148.2yd²

For, Semicircle:

area of semi circle= 1/2 [π(d/2)²]

area of semi circle= π×44²/8 = 760.265 in²

For Rectangle:

area of rectangle = length ×breadth

area of rectangle = 16.4×11.8 = 193.52 ft²

For triangle:

area of triangle = 1/2 ×base×height

area of triangle = 1/2×20.4×14.6 = 148.92in²

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Quelqu'un pourrais m’aider à faire cette exercice svp

Answers

Réponses:

1. pour calculer la distance OF on va utiliser tout simplement le théorème de pythagore

OF = √(68²+51²)

OF = √(4624+2601)

OF = √(7225)

OF = 85 mm

2. étant donné que la cible n'est pas atteinte si la pointe de la flèche est sur le bord, et on sait que le rayon de la cible est 100

donc la distance OF ne doit pas dépasser le nombre 100

OF < 100

3. la suite de la question trois n'est pas affichée malheureusement!

bonne journée ^^

image below answer correcctly and u will have brainliest no links i or i wiil report u

Answers

Answer:

40.32

Step-by-step explanation:

lengthxwidthxheight

What is the volume of the rectangular prism?

I need a lot of help bro

Answers

im guessing it’s the last answer, i’m pretty sure it is 3 1/3 ft.

1. A lab has two bacteria cultures. Culture A
contains 8 × 104 bacteria, and Culture B
contains 4 × 106 bacteria. How do the two
cultures compare in size?
A. Culture A contains twice as many
bacteria as Culture B.
B. Culture A contains 1
2
as many bacteria as
Culture B.
C. Culture A contains 1
25
as many bacteria as
Culture B.
D. Culture A contains 1
50
as many bacteria as culture B.

Answers

Answer:

A.

Step-by-step explanation:

To get the answer, you will need to divide the number of bacterias that Culture A has by the number of bacterias that Culture B has.

Size=(8*104)/(4*104)

=2

So, A will be the correct answer. (I have corrected your answer's no. of bacterias that Culture B contains as 104.)

find sin x/2 given that sin x=1/4 and 0

Answers

Answer:

Step-by-step explanation:

find sin x/2 in radians, given that sinx =1/4 and x terminates in 0 less than x less than pi/2

✓ sinx=1/4=opp side/hypotenuse adj side=√(4^2-1^2)=√(16-1)=√15 cosx=√15/4 sin x/2=√[(1-cosx)/2]=√[(1-√15/4)/2] .. calculator check: sinx=(1/4

The value of sin x/2 for sin x=1/4 and 0 is 0.124 and 0 respectively.

Given that, sin x=1/4 and 0.

We need to find sin x/2.

How to find the value of sin?

The sin formula is given as sin θ = Perpendicular / Hypotenuse.

Now, for sin x=1/4

sin 1/4/2=sin 1/8=0.124

=0.124

For sinx=0

sin 0/2=0

Hence, the value of sin x/2 for sin x=1/4 and 0 is 0.124 and 0 respectively.

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0. A hardware store sold h hammers in February. The hardware store sold 5 less than 2 times as
many hammers in June as it did in February. Write an expression the hardware store could use
to represent the number of hammers it sold in June.

Answers

Answer:

2h - 5

Step-by-step explanation:

Sold in February = hSold in June = 2h - 5

Answer:

solution given:

let hammers be H

now

an expression the hardware store could use to represent the number of hammers it sold in June is 2H-5

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