Find a polynomial f(x) of degree 4 that has the following zeros.
0, -5, 8, -2


Answers

Answer 1

Answer:

The polynomial of the function degree '4'

x⁴ - x³ -46 x² -80x =0

Step-by-step explanation:

Explanation:-

Given zeros are 0 ,-5,8,-2

x =0 , x=-5 ,x=8 and x=-2

(x-0) , ( x+5) , (x-8) and (x+2)

The polynomial function with degree '4'

(x-0)(x-(-5)(x-8)(x-(-2) =0

x ( x+5) (x-8) (x+2) =0

(x² +5x)(x-8)(x+2) =0

(x³ -8 x²+5x² -40 x)(x+2) =0

( x³ -3 x² - 40 x) (x +2) =0

x⁴ + 2 x³ - 3 x³- 6 x²-40 x²- 80 x =0

x⁴ - x³ -46 x² -80x =0

Final answer:-

The polynomial of the function degree '4'

x⁴ - x³ -46 x² -80x =0    


Related Questions

A 22-foot ladder is placed against a vertical wall of a building, with the
bottom of the ladder standing on level ground 9 feet from the base of the building. How high up the wall does the ladder reach?

Answers

Answer:

Step-by-step explanation:

By the Pythagorean Theorem

[tex]h^2+9^2=22^2\\ \\ h^2=22^2-9^2\\ \\ h^2=403\\ \\ h=\sqrt{403}ft\\ \\ h\approx 20.07ft[/tex]

Help pleaseeeeeeee pleaseee

Answers

Vertically opposite angles are equal. So
14x+7=8x+15
6x = 8
X = 4/3

We want to find the zeros of this polynomial: p(x) = (x - 1)(x + 3) * (2x + 1) Plot all the zeros (-intercepts) of the polynomial in the interactive graph.

Answers

Answer:

Step-by-step explanation:

Because the function is a product, the zeros will occur when any term is equal to zero. For

(x-1)(x+3)(2x+1) the value will be zero when x=1,-3, or -1/2 so the points are

(-3,0), (-1/2,0), and (1,0)

The zeroes of the polynomials are, x=1,-3, or -1/2,Because the function is a product, zeros will appear whenever any term equals zero.

How do you determine a function's zeros and y-intercept?

Zeros  are the Intersection points of the curve of the considered function on the input axis.

y-intercept Points on the output axis where the curve of the considered function intersects.

On the x-axis, the value of the y-coordinate is 0. On the y-axis, the value of the x-coordinate is 0.

Thus, if the function is y=f(x), then placing y = 0 yields the function's zeros. Putting x = 0 produces the function's y-intercept.

Because the function is a product, the zeros will occur when any term is equal to zero.

(x-1)(x+3)(2x+1) =0

x=1,-3, or -1/2

The zeroes of the polynomials are, x=1,-3, or -1/2

To learn more about zeros and y-intercept, refer:

https://brainly.com/question/11990243

#SPJ2

Matthew was collecting rocks and then weighing the results of his collection. The table below shows his results.Based on his results, which statement describes the relationship between r, the rocks collected, and w, the weight of the collection of rocks per quantity collected? A. The relationship is proportional because the ratio of w to r is constant. B. The relationship is not proportional because the ratio of w to r is not constant. C. The relationship is proportional because the ratio of w to r is not constant. D. The relationship is proportional because the difference between w and r is constant.

Answers

Answer:

C

Step-by-step explanation:

what is the average of 2,4,6,8
the answer plus 2​

Answers

Answer:

3.26

Step-by-step explanation:

3.26666666667

helllpppp me pleasssssseeee
25points easy

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Brainiest answer to whoever is correct

Answers

39 degrees I think that’s it

Answer:

39 degrees

Step-by-step explanation:

Vertical angles are opposite angles made by two intersecting lines, this means they share a vertex. Vertical angles are always congruent. Congruent angles have the same measurements, so the other angle must be 39 degrees.

x^2 + z^2

when, x= 2 and z= - 2​

Answers

Step-by-step explanation:

since x=2 and z=-2

4+4=8 [ because -2* -2=+4 ]

multiply (x+4)(2x-3)

Answers

Answer:

2x^2 + 5x - 12

Step-by-step explanation:

(x+4)(2x-3)

2x^2 - 3x + 8x - 12

2x^2 + 5x - 12

Please help me my teacher doesn't know how to teach

Answers

Answer:

Whats the question

Step-by-step explanation:

Answer:

There are videos on Khan Academy about this one

ok so im really confused and if you can explain with work would be great. (no pictures because i can't see them)

Answers

Answer:

Y=3x

so the answer is 27 miles

Step-by-step explanation:

3 is the slope

PLEASE HELP! WILL MARK BRAINLIEST IF YOU'RE CORRECT! IF NOT, NO BRAINLIEST.

Answers

Answer:

CYLINDER

Step-by-step explanation:

Answer:

cylinder

Step-by-step explanation:

The circles are the top and bottom, and the rectangle wraps around the middle.

what is 10÷7
pls help

Answers

Answer:

1.42857142857

Step-by-step explanation:

Answer:

1.428571428 and some more I feel lazy adding more numbers

The radius of a circle is 4 miles. What is the circle's circumference?
r=4 mi
Use 3.14 for .

Answers

Answer:

C = 39.48

Step-by-step explanation:

C = r(3.14)^2

Answer:

25.13

C= 2πr = 2 · π · 4 ≈ 25.13274

Step-by-step explanation:

C= 2πr = 2 · π · 4 ≈ 25.13274

FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!! (22pts)

Answers

A is the answer i think

Answer:

8 inches by 6 inches

Step-by-step explanation:

Reduce 120/96 ( turn into a decimal)

Do the same for the others.

You should get 1.25, and the one doesn't get that as a decimal doesn't represent the plot on a scale drawing.

In this case, it is 8 inches by 6 inches.

i will give brainlest if you get it correct ​

Answers

Answer:i think d.please dont blame me im not sure.sorry

Step-by-step explanation:

Answer:

The amount of time walking home from school and the distance left to arrive home.

Step-by-step explanation:

Miles is throwing three darts at the board shown below. His score is the sum of all three darts. How many different possible total scores could Miles get with three darts?

A. 450
B. 46
C. 12
D. 10

Answers

D . 10.
Hehehdhdbdbbxbxbxbxbxbbx

Sasha has $15 in her wallet. This is 20% of the total money she possesses. How much total money
does she have? Show work, using any method.

Answers

If 15 is 20% of her money you need to multiply 15 times 5 to get her total money which is 75 $

Pleaseeeeee helppppppp

Answers

Did you put a picture there is no picture

what’s the answer for
this

Answers

4/3 because up 4 and 3 to the right

Answer:

4/3

Step-by-step explanation:

The slope equals the rise/run

Start at the first point on the graph. Then count how many times you went up till you are parallel with the second point. That will be the rise, which in this case is 4.

Then from your new point count how many times you went right, and that will be your run. In this case it is 3.

Put the rise an top, and the run on bottom, and you get the slope 4/3!

I hope this helps, and have a great day!

If i have light brown hair would it be a good idea to bleach my hair
Giving brainlist

Answers

Yes it would be a good idea but make sure you haven’t used box dye or it can burn your hair into pieces. I suggest you go to a professional may be expensive but worth it !
Don’t know but thanks for the points an i would say no

Which of the following statement is true? 

a) 2 subtracted from -3 gives 1

b) -1 subtracted from -5 gives 6

c) 3 subtracted from -8 gives -11

d) 1 subtracted from -7 gives -6​

Answers

c) is correct because -8-3= -11!

Answer:

Te answer is (b)

Step-by-step explanation:

When you subtract negative numbers, the operation automatically becomes addition.

According to the rule negative plus negative equals positive.

(-1)-(-5)= 6

(-)+(-)=+

(-1)+(-5)= 6


Find the zeros of each function by factoring.
g(x) = x^2+ x-20

Answers

Answer:

4, -5

Step-by

I used the calculator

and it is always correct when factoring or it can be good for any type of algebraic equation

A market stall holder bought a variety of coloured 'hoodies' to sell. Each hoodie costs the stall holder $20 and she intends to sell them to the public at a mark up of 65%

1) What profit does the stall holder make on the sale of each hoodie?

Answers

[tex]20 \times 0.65 = 13[/tex]

She would sell the hoodies for 33 dollars and she will make a profit of 13 dollars from each hoodie.

When unknown terms been added, what can we do to isolate them?

Answers

Answer:

Bring like terms together Bring like terms together. All equations have two sides.

the sum of three number is 202, the second is three more than the first number, the third number is three times the second number. what are the three numbers ?

Answers

Answer:

x = 38

y = 41

z = 123

Step-by-step explanation:

x + y + z = =202

y = x + 3

z = 3y = 3(x + 3) = 3x + 9

x + y + z = x + x + 3 + 3x + 9 = 5x + 12 = 202

5x + 12 = 202

5x = 190

x = 38

y = x + 3 = 41

z = 3y = 123

There are 2 painters painting a room with 4 walls. Each painter paints an equal part of the room. How much of the room does each painter paint?

Answers

Answer:

um 2 walls

Step-by-step explanation:

it would be 4/2 which = 2

Answer:

2

Step-by-step explanation:

Calculate the area of this triangle.
17 cm
8 cm
15 cm-
Area - Triangles
Overview

Answers

Answer:

There are 3 possible answers because you didn't state which value was base or height.

Going off the assumption that the base is 15 cm and the height is 8 cm, the area is 60 cm. (same answer if base is 8 cm and height is 15 cm)

A = 1/2(b*h)

A = 1/2(15*8)

A = 1/2(120)

A = 60

Going off the assumption that the base is 17 cm and the height is 8 cm, the area is 68 cm. (same answer if base is 8 cm and height is 17 cm)

A = 1/2(b*h)

A = 1/2(17*8)

A = 1/2(136)

A = 68

Going off the assumption that the base is 15 cm and the height is 17 cm, the area is 127.5 cm. (same answer if base is 17 cm and the height is 15 cm)

A = 1/2(b*h)

A = 1/2(15*17)

A = 1/2(255)

A = 127.5

Solver 12g<48, Show steps in how to get answer

Answers

Answer:

G must be less than four

Step-by-step explanation:

12 (4) = 48 Therfore, any value less than 4 will make the inequality correct

For example, 12 (3.9999999) = 47.9999988 < 48

Therfore, any rational number less than positive 4 will serve as a possible value for g

&
Three angles of a quadrilateral are in the ratio 3 : 5 : 8. The mean of these
angles is 80°. Find all the four angles of the quadrilateral. ​

Answers

Answer:

See answers below

Step-by-step explanation:

Given the ratio of three angles as 3:5:8

Total ratio = 3+5+8 = 16

Mean = x+y+z/3

80 = x+y+z/3

x+y+z= 240

To get x;

x =3/16 * 240

x = 45degrees

To get y;

y = 5/16 * 240

y = 5 * 30

y = 75degrees

To get z;

z = 8/16 * 240

z = 120 degrees

Fourth angle = 360 - (120+75+45)

Fourth angle = 360-240

Fourth angle - 120 degrees

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