Factor by Grouping

Consider the polynomial: 3x³ - 12x² + 2x − 8

Group the first two terms together like so: (3x³ - 12x²)

What is the GCF of this grouping?

• 3

• 3x

• 3x²

• 3x³

Group the first two terms together like so: (3x³ - 12x²)

The GCF for this grouping is 3x².

What is the factored form of this grouping?

• 3x²(x - 12)

• 3x²(x - 4)

• 3x²(x³ - 12x²)

• 3x²(x² - 12x)

Consider the polynomial: 3x³ - 12x² + 2x − 8

Group the last two terms together like so: (2x - 8)

What is the GCF of this grouping?

• 2

• 2x

• 4

• 4x

Group the first two terms together like so: (2x - 8)

The GCF for this grouping is 2.

What is the factored form of this grouping?

• 2(x - 4)

• 2(x - 8)

• 2(2x - 4)

• 2(2x - 8)

Consider the polynomial: 3x³ - 12x² + 2x − 8

When we factor within each group, this is what we get: 3x²(x - 4) + 2(x - 4)

What is the GCF binomial of each group?

• 3x² + 2

• x - 4

• 3x² - 4

• x + 2

Consider the polynomial: 3x³ - 12x² + 2x − 8

When we factor within each group, this is what we get: 3x²(x - 4) + 2(x - 4)

What is the complete factored form of the polynomial?

• (x - 4)(3x² + 2)

• (x - 4)(3x²)

• (x - 4)(3x² - 4)

• (x - 4)(2x)

Find GCF of 22x³+11x²

• 11x
• 11x²
• 22x
• 22x²

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)
• (2p²+6)(p+4)
• (4p²+3)(p+2)
• (4p²+8p)(3p+6)