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

Gwendolyn Willett 2021-12-17 Answered
Write a polynomial f(x) that meets the given conditions. Answers may vary.
Degree 3 polynomial with zeros 5, 4, and -3
f(x)=
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Expert Answer

macalpinee3
Answered 2021-12-18 Author has 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=5x5=0
x=4x4=0
x=3x+3=0
So,
f(x)=(x-5)(x-4)(x+3)=0
f(x)=(x29x+20)(x+3)
f(x)=x39x2+20x+3x227x+60
f(x)=x36x27x+60
Hence,
f(x)=x36x27x+60

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kalupunangh
Answered 2021-12-19 Author has 29 answers

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