simplify the expression using (2x^3-11x^2+20x-12)/(x-2)

Question

anonymous · Answer

Need help thanks!

mathmate · Answer

Factor the numberator:
(2x^3-11x^2+20x-12)=(x-2)^2(2x-3)
then cancel common factor (x-2) with the assumption that x is not equal to 2.

anonymous · Answer

okay then?

mathmate · Answer

Yes, unless you prefer to expand the remaining quadratic expression.

anonymous · Answer

okay so the answer is (x-2)

mathmate · Answer

Not quite:
(x-2)^2(2x-3) / (x-2) 
= (x-2)(x-2)(2x-3) / (x-2) 
= (x-2)(2x-3)  (with the requirement that x does not equal 2)

anonymous · Answer

so what does x equal?

mathmate · Answer

This problem is for simplifying, so no value will be given for x.

Problems for solving (such as x=?) will provide you with equations (indicated by the presence of an equal sign), such as x^2-2x+1=0 can be solved to give x=1.

anonymous · Answer

Okay thank you, I struggle in math