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.

Question

Catherine Strong

Mathematics

30 October, 14:50

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.

+5

Answers (1)

Know the Answer?

Ashleigh Barr · 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