Is 4X^2-12X+9 a Perfect Square Trinomial?

4x 2 + 12x + 9 is a perfect square trinomial.

How do you identify a perfect square trinomial?

Multiply the roots of the first and third terms together. Compare to the middle terms with the result in step two. If the first and last terms are perfect squares, and the middle term's coefficient is twice the product of the square roots of the first and last terms, then the expression is a perfect square trinomial.

What is an example of a perfect square trinomial?

A perfect square trinomial is an algebraic expression that is of the form ax² + bx + c, which has three terms. ... For example, x² + 6x + 9 is a perfect square polynomial obtained by multiplying the binomial (x + 3) by itself. In other words, (x +3) (x + 3) = x² + 6x + 9.