449,452 views
8 votes
8 votes
Match the polynomial expression on the left with the simplified version on the right. Second expression

Match the polynomial expression on the left with the simplified version on the right-example-1
User Smabbott
by
2.3k points

1 Answer

20 votes
20 votes

The expression given is,


\:(12x^4-5x^3+x^2+10x-8)/(3x^2+x-2)

Simplify


\begin{gathered} (\left(x+1\right)\left(3x-2\right)\left(4x^2-3x+4\right))/(3x^2+x-2) \\ (\left(x+1\right)\left(3x-2\right)\left(4x^2-3x+4\right))/(\left(3x-2\right)\left(x+1\right)) \\ \mathrm{Cancel\:the\:common\:factor:}\:x+1 \\ (\left(3x-2\right)\left(4x^2-3x+4\right))/(3x-2) \\ \mathrm{Cancel\:the\:common\:factor:}\:3x-2 \\ =4x^2-3x+4 \end{gathered}

Hence, the answer is


4x^2-3x+4

User Tyler Morrow
by
3.1k points