Vikolers6

2021-12-26

Form a polynomial whose zeros and degree are given.

Zeros:

−2,

2,

8;

degree: 3

Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below.

Zeros:

−2,

2,

8;

degree: 3

Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below.

Jenny Sheppard

Beginner2021-12-27Added 35 answers

Step 1

We have to find the polynomial whose zeros and degree are as follows -

Zeros = -2, 2, 8

Degree = 3

And leading coefficient is 1.

The general form of a polynomial function is as follows-

$f\left(x\right)=a(x-{c}_{1})(x-{c}_{2})(x-{c}_{3})\dots (x-{c}_{n})$

Step 2

Given that the zeros are -2, 2, 8 therefore the factors of the required polynomial are - (x+2), (x-2) and (x-8).

Since the degree is 3 and the leading coefficient is 1, therefore, the required polynomial is written as -

f(x)=1(x+2)(x-2)(x-8)

$f\left(x\right)=({x}^{2}-4)(x-8)$

$f\left(x\right)={x}^{3}-8{x}^{2}-4x+32$

This is the required polynomial.

We have to find the polynomial whose zeros and degree are as follows -

Zeros = -2, 2, 8

Degree = 3

And leading coefficient is 1.

The general form of a polynomial function is as follows-

Step 2

Given that the zeros are -2, 2, 8 therefore the factors of the required polynomial are - (x+2), (x-2) and (x-8).

Since the degree is 3 and the leading coefficient is 1, therefore, the required polynomial is written as -

f(x)=1(x+2)(x-2)(x-8)

This is the required polynomial.

vicki331g8

Beginner2021-12-28Added 37 answers

Let f(x)=x(x+2)(x-2)(x-8)

Since leading coefficient

$\therefore f\left(x\right)=(x+2)(x-2)(x-8)$

$=({x}^{2}-4)(x-8)$

$={x}^{3}-8{x}^{2}-4x+32$

Since leading coefficient

Vasquez

Expert2022-01-09Added 669 answers

Given, a polynomial f(x) with zeros -2,2,8.

This is the required polynomial.

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

Which operation could we perform in order to find the number of milliseconds in a year??

$60\cdot 60\cdot 24\cdot 7\cdot 365$ $1000\cdot 60\cdot 60\cdot 24\cdot 365$ $24\cdot 60\cdot 100\cdot 7\cdot 52$ $1000\cdot 60\cdot 24\cdot 7\cdot 52?$ Tell about the meaning of Sxx and Sxy in simple linear regression,, especially the meaning of those formulas

Is the number 7356 divisible by 12? Also find the remainder.

A) No

B) 0

C) Yes

D) 6What is a positive integer?

Determine the value of k if the remainder is 3 given $({x}^{3}+k{x}^{2}+x+5)\xf7(x+2)$

Is $41$ a prime number?

What is the square root of $98$?

Is the sum of two prime numbers is always even?

149600000000 is equal to

A)$1.496\times {10}^{11}$

B)$1.496\times {10}^{10}$

C)$1.496\times {10}^{12}$

D)$1.496\times {10}^{8}$Find the value of$\mathrm{log}1$ to the base $3$ ?

What is the square root of 3 divided by 2 .

write $\sqrt[5]{{\left(7x\right)}^{4}}$ as an equivalent expression using a fractional exponent.

simplify $\sqrt{125n}$

What is the square root of $\frac{144}{169}$