If a polynomial p (x) is divisible by (x-2) and 4 is a zero of p (x), write a factor of p (x) of degree 2.

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Mathematics

Ellie

12 August, 00:16

If a polynomial p (x) is divisible by (x-2) and 4 is a zero of p (x), write a factor of p (x) of degree 2.

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Mathias Black · Answer 1

If p (x) is divisible by (x-2), then (x-2) is a factor. If 4 is a zero of p (x), then (x-4) is a factor. The product of these two different factors is also a factor of p (x). The degree 2 factor you want is ...

(x-2) (x-4) = x² - 6x + 8