Factoring Perfect Squares

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, typically in the form (a + b)² = a² + 2ab + b².

Front

Identify a perfect square trinomial from the following: x² + 14x - 49, x² + 20x + 100, x² - 8x + 4, x² - 5x + 6.

Back

x² + 20x + 100

Front

What is the first step in factoring a polynomial?

Back

Look for the GCF (Greatest Common Factor).

Front

Factor the expression: x² + 24x + 144.

Back

(x + 12)²

Front

Factor the expression: x² - 30x + 225.

Back

(x - 15)²

Front

Factor the expression: x² - 4x + 4.

Back

(x - 2)²

Front

What is the formula for factoring a perfect square trinomial?

Back

The formula is (a + b)² = a² + 2ab + b² or (a - b)² = a² - 2ab + b².

Front

How do you determine if a trinomial is a perfect square?

Back

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

Front

What is the GCF of the expression 2x² + 4x?

Back

2x.

Front

Factor the expression: 9x² - 30x + 25.

Back

(3x - 5)².