Factor with GCF and Factoring By Grouping

Front

What is the Greatest Common Factor (GCF)?

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

Front

How do you find the GCF of two or more terms?

Back

1. List the factors of each term. 2. Identify the common factors. 3. Choose the largest common factor.

Front

Factor the expression completely: 16y^8 + 8y^4

Back

8y^4(2y^4 + 1)

Front

What is factoring by grouping?

Back

Factoring by grouping is a method used to factor polynomials with four or more terms by grouping terms in pairs.

Front

Factor by grouping: 3x^2 + 9x + 4x + 12

Back

(x + 4)(3x + 3)

Front

Factor the expression: 2ce + 7c + 7d + 2de

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(c + d)(2e + 7)

Front

How do you factor by grouping?

Back

1. Group terms into pairs. 2. Factor out the GCF from each pair. 3. Factor out the common binomial.

Front

Find the GCF for 18x^5 + 8x^4 - 10x^6

Back

2x^4

Front

Find the GCF for 16x^6 + 24x^5

Back

8x^5

Front

What is the first step in factoring an expression?

Back

Identify and factor out the GCF from all terms.