Simplify the rational expression.
-$$\frac { 9 x ^ { 2 } - 17 x + 8 } { x - 1 }$$
A) $\frac { 9 x ^ { 2 } - 17 x + 8 } { x - 1 }$
B) $9 x ^ { 2 } - 25$
C) $\frac { 1 } { x - 1 }$
D) $9 x - 8$

Question

Quizplus · Accepted Answer

To simplify the given rational expression, we factor the numerator and see if any factors cancel with the denominator. Factoring the numerator $9x^2 - 17x + 8$, we look for two numbers that multiply to $9*8=72$ and add to $-17$. These numbers are $-9$ and $-8$, so we can rewrite the numerator as $(9x^2 - 9x) - (8x - 8)$, which simplifies to $9x(x - 1) - 8(x - 1)$. Factoring out $(x - 1)$, we get $(x - 1)(9x - 8)$. Dividing this by $x - 1$ leaves $9x - 8$.

Simplify the Rational Expression 9x2−17x+8x−1\frac { 9 x ^ { 2 } - 17 x + 8 } { x - 1 }x−19x2−17x+8​

Simplify the Rational Expression $\frac { 9 x ^ { 2 } - 17 x + 8 } { x - 1 }$