Factoring Polynomials by Grouping

Factor by Grouping:

x³ + 7x² − 2x − 14

• (x² − 2)(x − 7)

• (x² + 2)(x − 7)

• (x² + 2)(x + 7)

• (x² − 2)(x + 7)

Tags

CCSS.HSA.SSE.A.2

Factor by Grouping:

4y³ + 12y² + y + 3

• (4y + 3)(y + 3)

• (4y + 3)(4y − 3)

• (4y² + 1)(y + 3)

• (4y² + 1)(y − 3)

Tags

CCSS.HSA.SSE.A.2

Factor by Grouping:

4p³ + 8p² + 3p + 6

• (2p² + 3)(p + 2)

• (2p² + 6)(p + 4)

• (4p² + 3)(p + 2)

• (4p² + 8)(3p + 6)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the following expression:

4x³ − x² + 16x − 4

• (4x + 1)²(x + 4)

• (x² + 4)(4x − 1)

• (x + 2)(x − 2)(4x − 1)

• (2x + 1)(2x − 1)(4x − 1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the completely factored form of

d³ + 3d² − 9d − 27 is

***Hint:

This is a factor by grouping AND dots

• (d² − 9)(d + 3)

• (d² + 9)(d + 3)

• (d + 3)² (d − 3)

• (d − 3)² (d + 3)

Tags

CCSS.HSA.APR.C.4

Factor Completely:

2n³ + 7n² − 2n − 7

**Hint:

Factor by grouping AND DOTS

• (n − 1)²(2n + 7)

• (n − 1)²(2n − 7)

• (n + 1)(n − 1)(2n − 7)

• (n + 1)(n − 1)(2n + 7)

Factor Completely:

8x⁴ + 2x³ − 16x² − 4x

**Hint:

Factor by GCF THEN grouping

• 2x²(4x + 1)(x − 2)

• 2x(4x + 1)(x² − 2)

• 2x(x + 1)(x − 1)

• 2(x² − 2)(4x − 1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.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)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3