Factoring GCF, GROUPING, DIFF OF 2 SQ, PERFECT SQ TRINOMIALS

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers without leaving a remainder.

Front

How do you factor using GCF?

Back

To factor using GCF, identify the largest factor common to all terms in the expression and factor it out.

Front

Factor the expression: 2n² - 8n³

Back

2n²(1 - 4n)

Front

What is the difference of squares?

Back

The difference of squares is a special product that states a² - b² = (a - b)(a + b).

Front

Factor the expression: 4x² - 25

Back

(2x + 5)(2x - 5)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression of the form a² ± 2ab + b², which factors to (a ± b)².

Front

Factor the expression: 64x² - 16x + 1

Back

(8x - 1)²

Front

What is the formula for factoring a perfect square trinomial?

Back

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

Front

Factor the expression: 32n² - 50

Back

2(4n + 5)(4n - 5)

Front

What is the grouping method in factoring?

Back

The grouping method involves rearranging and grouping terms to factor by common factors.