Factor Perfect Square Trinomials

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 = a² + 2ab + b².

Front

Identify the perfect square trinomial: x² - 4x + 4, x² - 6x - 9, x² + 6x - 9, x² - 4x - 4.

Back

x² - 4x + 4 is a perfect square trinomial.

Front

Put into standard form: (x + 6)²

Back

x² + 12x + 36.

Front

Factor the expression: x² + 18x + 81

Back

(x + 9)².

Front

What is the axis of symmetry for the quadratic n² + 10n + 25?

Back

n = -5.

Front

Factor the expression: x² + 24x + 144

Back

(x + 12)².

Front

What is the general form of a perfect square trinomial?

Back

The general form is a² + 2ab + b².

Front

How do you identify 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 the square roots of the first and last terms.

Front

Factor the expression: x² - 10x + 25

Back

(x - 5)².

Front

What is the square of (x + 3)?

Back

(x + 3)² = x² + 6x + 9.