Finding GCF and Factoring by Grouping

• Factoring by grouping

• Factoring a quadratic

• Factoring out the greatest common factor

• Factoring a sum or difference of cubes

Which of the following refers to the finding of two or more factors of a number or a polynomial.

• Addition

• Subtraction

• Factorization

• Multiplication

Find the GCF of 64 and 144

• 8

• 6

• 16

• 2

What is the GCF of 18 and 24?

• 3

• 6

• 8

• 9

Factor Completely: 3m⁴ + 6m³ + 48m² + 96m

• 3m(m² + 16)(m + 2)

• 3m(m² − 16)(m − 2)

• 3m(m + 4)(m − 4)(m + 2)

• 3m(m + 4)(m − 4)(m − 2)

Factor Completely: 3m⁴ + 6m³ + 48m² + 96m
**Hint: Factor by GCF THEN grouping

• 3m(m² + 16)(m + 2)

• 3m(m² − 16)(m − 2)

• 3m(m + 4)(m − 4)(m + 2)

• 3m(m + 4)(m − 4)(m − 2)

Factor Completely: 8x⁴ + 2x³ − 16x² − 4x

• 2x²(4x + 1)(x − 2)

• 2x(4x + 1)(x² − 2)

• 2x(x + 1)(x − 1)

• 2(x² − 2)(4x − 1)

Factor 8x⁴ + 2x³ − 16x² − 4x

• 2x²(4x + 1)(x − 2)

• 2x(4x + 1)(x² − 2)

• 2x(x + 1)(x − 1)

• 2(x² − 2)(4x − 1)

GCF of 99 and 54

• 9

• 3

• 6

• 8

What is the GCF of 72, 96, and 84?

• 2

• 7

• 12

• 4