Factoring Out 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 is the first step in factoring this problem?

• Multiply

• List the factors of -6

• Add the factors of -6

• Factor out the GCF

What is the first step in factoring this problem?

x² - 5x - 36

• Multiply

• List the factors of -36

• Add the factors of -36

• Factor out the GCF

8r³ - 16r²

• 4r²(2r - 4)

• 8r²(r - 2)

• 8(r³ - r²)

• 4(r³ - 2r²)

Factor

n² + 16n + 63

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• (n+7)(n+9)

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?

x² - 36

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Master Products

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

Factor Completely:

x² - 36

• (x + 9)(x - 4)

• (x - 6)(x - 6)

• (x - 9)(x + 4)

• (x + 6)(x - 6)

What is the factored form of 5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n²-3)(n-2)

• (5n³+3)(n-2)

• 10n(n²-6)