Factor the expression completely. $$36 z ^ { 2 } + 84 z + 49$$
A) $\quad ( 6 z + 7 ) ^ { 2 }$
B) $\quad ( 6 z - 7 ) ^ { 2 }$
C) $\quad ( 6 z + 7 ) ( 6 z - 7 )$
D) $\quad 7 ( 6 z + 7 )$

Question

Quizplus · Accepted Answer

This expression is a perfect square trinomial, factoring into $(6z + 7)^2$, because $36z^2$ is the square of $6z$, $49$ is the square of $7$, and $2 \cdot 6z \cdot 7 = 84z$, which matches the middle term.

Factor the Expression Completely 36z2+84z+4936 z ^ { 2 } + 84 z + 4936z2+84z+49

Factor the Expression Completely $36 z ^ { 2 } + 84 z + 49$