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pentagon [3]
3 years ago
14

Construct a polynomial function with the following properties: fifth degree, 4 is a zero of multiplicity 3, −4 is the only other

zero, leading coefficient is 4. setup problem so I can solve, thanks!!
Mathematics
1 answer:
Nonamiya [84]3 years ago
8 0

Answer:

Step-by-step explanation:

Hello,

degree 5

4 is a zero of multiplicity 3 -> (x-4)^3 is a factor

-4 is the only other zero, so the multiplicity is 5-3=2 -> (x+4)^2 is a factor

leading coefficient is 4 so we can write

\boxed{4(x-4)^3(x+4)^2}

If there is something that you do not understand or you are blocked somewhere let us know what / where.

Thank you.

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