Give an example of an odd polynomial of degree 3, which is zero when x=-3.

Question

Mathematics

Hanna Becker

25 May, 09:03

Give an example of an odd polynomial of degree 3, which is zero when x=-3.

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Answers (1)

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Yusuf Leblanc · Answer 1

Odd polynomials are normally 3rd degree

so

zero when x=-3

if a zero is r1 then a factor is (x-r1)

so

(x - (-3)) = (x+3)

odd means f (-x) = - f (x)

we have 1 root only so

(x+3) ³=

the polynomail is f (x) = (x+3) ³