AA Unit 8 Factoring Review

Front

What is a difference of perfect squares?

Back

A difference of perfect squares is an expression of the form a² - b², which can be factored into (a - b)(a + b).

Front

Identify a difference of perfect squares from the following: x² - 18, 4x² + 36, 9x² - 100, x² + 4.

Back

9x² - 100

Front

What does it mean if a polynomial is prime?

Back

A polynomial is prime if it cannot be factored into the product of two non-constant polynomials.

Front

Factor the expression: 24c⁵ - 12c³.

Back

12c³(2c² - 1).

Front

What is the first step when factoring polynomials?

Back

Find the GCF (Greatest Common Factor).

Front

What is the GCF of 24 and 12?

Back

The GCF of 24 and 12 is 12.

Front

Factor the polynomial: 3x² - 15x + 18.

Back

3(x - 2)(x - 3).

Front

What is the formula for factoring a perfect square trinomial?

Back

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

Front

What is the factored form of x² - 16?

Back

(x - 4)(x + 4).

Front

How do you factor the expression x² + 6x + 9?

Back

It factors to (x + 3)(x + 3) or (x + 3)².