Factor the polynomial completely.
-$$64 x y ^ { 2 } - 48 x y z ^ { 2 } + 9 x z ^ { 4 }$$
A) $x \left( 8 y + 3 z ^ { 2 } \right) ^ { 2 }$
B) $x \left( 8 y - 3 z ^ { 2 } \right) \left( 8 y + 3 z ^ { 2 } \right)$
C) $x \left( 8 y - 3 z ^ { 2 } \right) ^ { 2 }$
D) $x ( 8 y - 3 z ) ( 8 y + 3 z )$

Question

Quizplus · Accepted Answer

The polynomial can be factored by first factoring out the common factor $x$, resulting in $x(64y^2 - 48yz^2 + 9z^4)$. Recognizing the remaining expression as a perfect square trinomial, it can be factored as $(8y - 3z^2)^2$, leading to the complete factorization $x(8y - 3z^2)^2$.

Factor the Polynomial Completely 64xy2−48xyz2+9xz464 x y ^ { 2 } - 48 x y z ^ { 2 } + 9 x z ^ { 4 }64xy2−48xyz2+9xz4

Factor the Polynomial Completely $64 x y ^ { 2 } - 48 x y z ^ { 2 } + 9 x z ^ { 4 }$