Question

11. Sarah claims that (x - 4) is a factor of p(x) = x2 +8x - 48.Which equation must

Sarah show to be true in order to prove her claim? Why?
a) p(O) = -4
b) p(0) = 4
c) p (-4) = 0
d) p(4) = 0

Answer 1

d) p(4) = 0.

Explanation:

p(4) = 0:-

p(4) = 4^2 + 8(4) - 48

= 16 + 32 - 48

= 0.

This is an application of the Factor Theorem ( a special case of The Remainder Theorem)

The Factor theorem states that if (x - a) is a factor of P(x) then P(a) = 0.