Question

question 3 of 10, step 1 of 2
consider the following rational expression.
step 1 of 2: simplify the expression.
\\(\frac{3z^2 - 19z - 14}{z^2 - 15z + 56}\\)
answer

Explanation:

Step1: Factor numerator

$3z^2 - 19z - 14 = (3z + 2)(z - 7)$

Step2: Factor denominator

$z^2 - 15z + 56 = (z - 7)(z - 8)$

Step3: Cancel common factor

$\frac{(3z + 2)(z - 7)}{(z - 7)(z - 8)} = \frac{3z + 2}{z - 8}$ (where $z
eq 7, 8$)

Answer:

$\frac{3z + 2}{z - 8}$ (with restrictions $z
eq 7, 8$)