2A Factor By Grouping

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 by GCF?

Back

To factor by GCF, identify the largest common factor of the terms and factor it out.

Front

Factor by GCF: 6x + 24

Back

6(x + 4)

Front

Factor by using GCF: 8n^3 + 2n^2

Back

2n^2(4n + 1)

Front

What do we do with the exponents and coefficients when multiplying polynomials?

Back

Multiply the coefficients and add the exponents.

Front

Factor by grouping: 5n³ - 10n² + 3n - 6

Back

(5n² + 3)(n - 2)

Front

Factor out a GCF: 18x^4 - 12x^2

Back

6x^2(3x^2 - 2)

Front

What is the first step in factoring by grouping?

Back

Group the terms into pairs and factor out the GCF from each pair.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.