Factor the polynomial.
-$$7 x ^ { 2 } z - 7 x z - 42 z$$
A) $7 \mathrm { z } ( \mathrm { x } + 2 ) ( \mathrm { x } - 3 )$
B) $7 \mathrm { z } ( \mathrm { x } - 2 ) ( \mathrm { x } + 3 )$
C) $7 ( x z + 2 ) ( x z - 3 )$
D) prime polynomial

Question

Quizplus · Accepted Answer

The polynomial can be factored by first factoring out the greatest common factor, which is $7z$, resulting in $7z(x^2 - x - 6)$. The quadratic $x^2 - x - 6$ can be factored further into $(x + 2)(x - 3)$. Thus, the complete factorization is $7z(x + 2)(x - 3)$.

Factor the Polynomial 7x2z−7xz−42z7 x ^ { 2 } z - 7 x z - 42 z7x2z−7xz−42z

Factor the Polynomial $7 x ^ { 2 } z - 7 x z - 42 z$