Question

Which trinomial is a perfect square trinomial?

Answer 1

a y^2 + 6y + 36

b y^2 + 18y + 81

c y^2 + 50y + 100

d y^2 + 25y + 200

Answer 2

a

Answer 3

6^2=36

Answer 4

\(\ (a+b)^2 = a^2 + 2(a)(b) + b^2 \)

Look at the first, 36 sqrt is 6, sqrt of \(\ y^2\) is y

So \(\ (y+6)^2 = y^2 + 2(6)(y) + 6^2 = y^2 + 12y + 36\) so it's not A, try B now

Answer 5

It will be a perfect square if half of the coefficient of y, squared, equals the constant term.

For example\[y^2+8y+16\]is a perfect square because \[(8/2)^2 = 4\text{ and }4^2= 16\]