SOLUTION: 4y^2+16y+16 factor the polynomial, show steps. Thanks :-) 4y is squared, i didnt know how to type the square root in

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 4y^2+16y+16 factor the polynomial, show steps. Thanks :-) 4y is squared, i didnt know how to type the square root in      Log On


   

Question 464305: 4y^2+16y+16
factor the polynomial, show steps. Thanks :-)
4y is squared, i didnt know how to type the square root in
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming
4y%5E2+%2B16y+%2B+16+=+0
.
Divide both sides by 4.
y%5E2+%2B4y+%2B+4+=+0
.
What the factors of 4?
2+%2A+2
What is the sum of the factor?
2+%2B+2
.
So, that tells us the factors are:
.
%28y%2B2%29%28y%2B2%29+=+y%5E2+%2B2y+%2B2y+%2B+4
.
Collecting terms

.
Either way, we see there is one root: y=-2