Factor a negative real number out of the polynomial $5 y - 5 - 25 y ^ { 2 }$ and then write the polynomial factor in standard form.
A) $- 5 \left( 5 y ^ { 2 } - y + 1 \right)$
B) $- \left( 25 y ^ { 2 } + y + 5 \right)$
C) $- 5 \left( 5 y ^ { 2 } + y - 5 \right)$
D) $- 5 \left( 5 y ^ { 2 } + 5 y + 1 \right)$
E) $- \left( 25 y ^ { 2 } - 5 y + 1 \right)$

Question

Quizplus · Accepted Answer

Factoring out -5 from $5y - 5 - 25y^2$ gives $-5(-y + 1 + 5y^2)$, which simplifies to $-5(5y^2 - y + 1)$, matching option A.

Factor a Negative Real Number Out of the Polynomial 5y−5−25y25 y - 5 - 25 y ^ { 2 }5y−5−25y2

Factor a Negative Real Number Out of the Polynomial $5 y - 5 - 25 y ^ { 2 }$