Question

State the type of trinomial, and factor: y2 + 8y + 16.
A. regular trinomial; (y + 2)(y + 8)
B. regular trinomial; (y ­– 2)(y – 8)
C. perfect square trinomial; (y + 4)2
D. perfect square trinomial; (y + 8)2

Answer 1

The answer to your question is the third option because both terms (y^2 and 16) can be simplified into a perfect square

Answer 2

Answer: Option C

We will factor 16 so that the sum of the factors is 8.

Such factors are 4 and 4.

So the factorization of the given expression is:

$y^2+8y+16\\=y^2+4y+4y+16\\=y(y+4)+4(y+4)\\=(y+4)(y+4)\\=(y+4)^2$

So the given trinomial is a perfect square trinomial.

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