Question

the expression $x^{2}+6x+9$ is an example of a __________ trinomial, which factors to $(x+3)^{2}$.

Explanation:

A trinomial that can be written as the square of a binomial is called a perfect square trinomial. The given expression $x^2 + 6x + 9$ fits the form $(a+b)^2 = a^2 + 2ab + b^2$, where $a=x$ and $b=3$, since $2ab=2*x*3=6x$, so it is a perfect square trinomial.

Answer:

perfect square