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 or expressions without leaving a remainder.

Front

How do you factor using GCF?

Back

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

Front

Factor the expression: 2n^2 - 8n^3

Back

2n^2(1 - 4n)

Front

What is the difference of two squares?

Back

The difference of two squares is a special product that can be expressed as a^2 - b^2 = (a - b)(a + b).

Front

Factor the expression: 4x^2 - 25

Back

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

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression that can be factored into the square of a binomial, such as a^2 + 2ab + b^2 = (a + b)^2.

Front

Is 4x^2 - 12x + 8 a perfect square trinomial?

Back

No

Front

Factor the expression: 32n^2 - 50

Back

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

Front

What is the grouping method in factoring?

Back

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

Front

Factor the expression: 3x^2 - 9x - 120 completely.

Back

3(x - 8)(x + 5)