Factor completely. Check by multiplying the factors. $- 5 y ^ { 2 } + 40 y - 80$
A) $( - 5 y - 4 ) ( y - 4 )$
B) $- 5 ( y + 4 ) ( y + 4 )$
C) $- 5 ( y - 4 ) ( y - 4 )$
D) $- ( 5 y - 4 ) ( y - 4 )$
E) $5 ( y - 4 ) ( y - 4 )$

Question

Quizplus · Accepted Answer

First, we can factor out a common factor of -5: 
$-5(y^2-8y+16)$

Then, we can factor the quadratic trinomial inside the parentheses: 
$-5(y-4)^2$

Therefore, the final factored form is:
$-5(y-4)^2$

To check, we can use the distributive property to multiply: 
$-5(y-4)^2=-5(y^2-8y+16)=-5y^2+40y-80$ 
Thus, the factoring is correct and the answer is C.

Factor Completely −5y2+40y−80- 5 y ^ { 2 } + 40 y - 80−5y2+40y−80

Factor Completely $- 5 y ^ { 2 } + 40 y - 80$