Is (x − 2) a factor of f(x) = x3 − 2x2 + 2x + 3? use either the remainder theorem or the factor theorem to explain your reasoning.

x-2 is not a factor of x^3 - 2x^2+2x+3

Step-by-step explanation:

Given

In order to check we have to put

x-2 = 0

x=2

We will put x=2 in given expression. If the expression becomes equal to zero that means 2 is a factor of this expression. If the answer is not zero, 2 is not a factor of the given expression.

So putting 2,

As the answer is not equal to zero, x-2 is not a factor of given expression ..

560

hope this : )