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

Question

2060 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-07T20:47:54

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

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.

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