Gwendolyn Willett

2021-12-17

Write a polynomial f(x) that meets the given conditions. Answers may vary.

Degree 3 polynomial with zeros 5, 4, and -3

f(x)=

Degree 3 polynomial with zeros 5, 4, and -3

f(x)=

macalpinee3

Beginner2021-12-18Added 29 answers

Step 1

Given:

The degree of polynomial is 3 and the zeros of polynomial are 5,4 and -3.

Step 2

The degree of the polynomial is the highest power is 3.

The zeros is a number where the value of polynomial becomes zero.

So,

$x=5\Rightarrow x-5=0$

$x=4\Rightarrow x-4=0$

$x=-3\Rightarrow x+3=0$

So,

f(x)=(x-5)(x-4)(x+3)=0

$f\left(x\right)=({x}^{2}-9x+20)(x+3)$

$f\left(x\right)={x}^{3}-9{x}^{2}+20x+3{x}^{2}-27x+60$

$f\left(x\right)={x}^{3}-6{x}^{2}-7x+60$

Hence,

$f\left(x\right)={x}^{3}-6{x}^{2}-7x+60$

Given:

The degree of polynomial is 3 and the zeros of polynomial are 5,4 and -3.

Step 2

The degree of the polynomial is the highest power is 3.

The zeros is a number where the value of polynomial becomes zero.

So,

So,

f(x)=(x-5)(x-4)(x+3)=0

Hence,

kalupunangh

Beginner2021-12-19Added 29 answers

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