Question

Show that q( x) is a factor of p ( x). P(x) = x² - 5x + 6 q( x ) = x - 2

Answer 1

Step-by-step explanation:

Given :

$p(x) = {x}^{2} - 5x + 6$

$q(x) = x - 2$

For, (x - 2) = 0, x = 2,

By factor-theorem, if f(2) = 0, then (x - 2) will be a factor of f(x).

Therefore,

f(2) = 2^2 - 5×2 + 6

= 4 - 10 + 6

= 0.

Hence, q(x) = (x - 2) is a factor of f(x).