Use the process of factoring by grouping to factor the polynomial. $- 8 z ^ { 2 } + z + 32 z - 4$
A) $( 8 z + 32 ) ( z - 1 )$
B) $( - 8 z + 1 ) ( z - 4 )$
C) $( - 8 z + 32 ) ( z - 4 )$
D) $( - 8 z - 1 ) ( z + 4 )$

Question

Quizplus · Accepted Answer

First, rearrange the polynomial as $-8z^2 + 32z + z - 4$. Then, factor by grouping: factor $-8z$ out of the first two terms to get $-8z(z - 4)$, and factor $1$ out of the last two terms to get $+1(z - 4)$. Combining these gives $(-8z + 1)(z - 4)$.

Use the Process of Factoring by Grouping to Factor the Polynomial