PERFECT SQUARE TRINOMIAL

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be expressed as the square of a binomial. It has the form: (a + b)^2 = a^2 + 2ab + b^2.

Front

Identify the form of a perfect square trinomial.

Back

The form is: a^2 + 2ab + b^2 or a^2 - 2ab + b^2.

Front

Is the expression x^2 + 10x + 100 a perfect square trinomial?

Back

No, it is not a perfect square trinomial.

Front

Is the expression x^2 + 18x + 9 a perfect square trinomial?

Back

No, it is not a perfect square trinomial.

Front

Can the expression (x + 2)(x + 2) also be written as (x + 2)^2?

Back

Yes.

Front

Factor the expression 36x^2 + 132x + 121.

Back

(6x + 11)^2.

Front

What is the expansion of (3x - 2y)^2?

Back

9x^2 - 12xy + 4y^2.

Front

What is the first step in factoring a perfect square trinomial?

Back

Identify the coefficients a and b in the expression a^2 + 2ab + b^2.

Front

What is the relationship between the coefficients in a perfect square trinomial?

Back

The middle term (2ab) is twice the product of the square roots of the first and last terms.

Front

How do you recognize a perfect square trinomial?

Back

Check if the first and last terms are perfect squares and if the middle term is twice the product of their square roots.