Factor the polynomial completely. If the polynomial cannot be factored, write "prime."
-$y ^ { 2 } + 40 y + 400$
A) $( y - 20 ) ^ { 2 }$
B) $( y + 20 ) ( y - 20 )$
C) prime
D) $( \mathrm { y } + 20 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

The polynomial can be factored as a perfect square trinomial, where both the square root of the first term $y^2$ is $y$, and the square root of the last term $400$ is $20$, and twice the product of these roots gives the middle term $40y$. Therefore, it factors to $(y + 20)^2$.

Factor the Polynomial Completely y2+40y+400y ^ { 2 } + 40 y + 400y2+40y+400

Factor the Polynomial Completely $y ^ { 2 } + 40 y + 400$