Question

using factor theorem show that x-2 is a factor of x³+x²-4x. hence factories the polynomial completely​

Answer 1

$\sf \Large Solution!!$

x - 2 = 0

x = 2

f(x) = x³ + x² - 4x

f(2) = (2)³ + (2)² - 4(2)

It is given that x - 2 factories the polynomial completely which means that there will be no remainder.

0 = 8 + 4 - 8

0 ≠ 4

x - 2 is not a factor of the polynomial x³ + x² - 4x