Lesson 3.4 Factoring (GCF/GROUPING) Graded Assignment

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides each of the given integers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is the first step in factoring by grouping?

Back

The first step is to group the terms in pairs and factor out the common factor from each pair.

Front

Factor the expression: 3x^2 - 12.

Back

3(x^2 - 4) = 3(x - 2)(x + 2) using the difference of squares.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler expressions (factors) that, when multiplied together, give the original expression.

Front

Factor the expression: 63 + 45p.

Back

9(7 + 5p) is the factored form, where 9 is the GCF.

Front

What is the purpose of factoring in algebra?

Back

Factoring helps simplify expressions, solve equations, and find roots of polynomials.

Front

How do you factor the expression: 16xy - 24y?

Back

Factor out the GCF, which is 8y, to get 8y(2x - 3).

Front

What is the grouping method in factoring?

Back

The grouping method involves rearranging and grouping terms to factor polynomials that do not have a common factor.

Front

Factor by grouping: 4p³ + 8p² + 3p + 6.

Back

(4p² + 3)(p + 2) is the factored form.