Question

Use factor method to determine whether (x-2) is a factor of x3-3x2+4x-4 or not

Answer 1

Step-by-step explanation:

Assume that x-2 is a factor of the given equation.

So, if X-2 is a factor, then X=2 will be one of the roots of the equation.

Put X=2 in the equation.

If you get 0( which you will in the given case)

it is proved that x-2 is a factor of the equation.

Now, I am not sure if this is the factor method, but the other factors of the polynomial can be found out by dividing the given eq by x-2.

On dividing you get x^2-x+2 as the quotient.

so the other factors can be obtained by factoring this quotient.

Hope this helps!