Factoring Cubic Polynomials

Which step is NEVER used when factoring polynomials? Select all the apply.

• Multiplying the first and the last term

• Factoring out the GCF

• Finding the factors of the middle term

• Find the sum of the factors that equal the middle term

• Find the square root of the last term

What method should you use to factor the polynomial?

8r³ - 16r²

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Master Product

What method should you use to factor the polynomial?

5n³-10n²+3n-6

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Master Product

8r³ - 16r²

• 4r²(2r - 4)

• 8r²(r - 2)

• 8(r³ - r²)

• 4(r³ - 2r²)

• A

• B

• C

• D

What is the factored form for the following cubic function?

• 2x(x - 3)(x - 4)

• x(x + 3)(x + 4)

• x(x - 3)(x + 4)

• (x + 3)(x - 3)(x - 4)

What is the factored form for the following cubic function?

• x(x - 3)(x - 4)

• x(x + 3)(x + 4)

• x(x - 3)(x + 4)

• (x + 3)(x - 3)(x - 4)

Factor x³ – 2x – 4x² + 8 by grouping. Remember to look for Standard Form, then for common factors.

• x³ - 4x² - 2x + 8

• (x – 4)(x² – 2)

• (x – 2)(x² – 4)

Factor 4y³ + y + 12y² + 3 by grouping. Remember to look for Standard Form, then for common factors.

• 4y²(y + 3) + 3

• 4y³ + 12y² + y + 3

• (4y² + 1)(y + 3)

Factor by grouping:

5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n³+3)(n-2)

• (5n²-3)(n-2)

• 10n(n²-6)