Factor out the greatest common factor. Then determine if the polynomial is a perfect square trinomial. If it is, factor it. $$y ^ { 2 } - 12 y + 36$$
A) $( y - 12 ) ^ { 2 }$
B) $( y + 6 ) ^ { 2 }$
C) $( y - 6 ) ^ { 2 }$
D) Not a perfect square trinomial

Question

Quizplus · Accepted Answer

The polynomial $y^2 - 12y + 36$ is a perfect square trinomial because it can be factored as $(y - 6)^2$. This is because the square root of $y^2$ is $y$, the square root of $36$ is $6$, and twice the product of $y$ and $6$ gives the middle term $-12y$.

Factor Out the Greatest Common Factor y2−12y+36y ^ { 2 } - 12 y + 36y2−12y+36

Factor Out the Greatest Common Factor $y ^ { 2 } - 12 y + 36$