Question

How do you use the factor theorem to determine whether x-2 is a factor of `f(x) = 2x³-9x²+7x+6`?

Answer 1

f(2) = 0 or divide `2x^3 - 9x^2 + 7x + 6` by (x - 2)
using synthetic division.

Explanation:

check using f(2)

`f(2) = 2 xx 2^3 - 9 xx 2^2 + 7 xx 2 + 6 = 16 - 36 + 14 + 6`

`rArr f(2) =0`

This means that x = 2 is a root and therefore ( x - 2 ) is a factor.