Factor with GCF and Factoring By Grouping

Front

What is the GCF of 16x^6 and 24x^5?

Back

The GCF is 8x^5.

Front

Factor the expression 28w^9 + 12w^6 completely.

Back

The factored form is 4w^6(7w^3 + 3).

Front

Factor the expression 6a^2 - 15a - 8a + 20.

Back

The factored form is (3a - 4)(2a - 5).

Front

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

Back

The factored form is (c + d)(2e + 7).

Front

Factor completely 15w^7 + 40w^5.

Back

The factored form is 5w^5(3w^2 + 8).

Front

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor.

Front

How do you find the GCF of two terms?

Back

To find the GCF, identify the highest power of common factors in both terms.

Front

What is factoring by grouping?

Back

Factoring by grouping is a method used to factor polynomials by grouping terms with common factors.

Front

What is the first step in factoring by grouping?

Back

The first step is to group the terms in pairs.

Front

What is the purpose of factoring polynomials?

Back

Factoring polynomials simplifies expressions and helps solve equations.