Factor.
-$16 x ^ { 2 } - 40 x + 25$
A) $( 4 x - 5 ) ( 4 x + 5 )$
B) $( 4 x + 5 ) ^ { 2 }$
C) $( 16 x + 1 ) ( x + 25 )$
D) $( 4 x - 5 ) ^ { 2 }$

Name: Factor. -$16 x ^ { 2 } - 40 x + 25$ A) $( 4 x - 5 ) ( 4 x + 5 )$ B) $( 4 x + 5 ) ^ { 2 }$ C) $( 16 x + 1 ) ( x + 25 )$ D) $( 4 x - 5 ) ^ { 2 }$
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Question

Quizplus · Accepted Answer

This is a perfect square trinomial, factoring into $(4x - 5)^2$, because $16x^2$ is the square of $4x$, $25$ is the square of $5$, and $2 \cdot 4x \cdot 5 = 40x$, matching the middle term with a negative sign.

Factor - 16x2−40x+2516 x ^ { 2 } - 40 x + 2516x2−40x+25

Factor
- $16 x ^ { 2 } - 40 x + 25$