Polynomial Operations and Factoring Review

What method should you use to factor the polynomial?

x² - 36

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Difference of 2 Cubes

What method should you use to factor the polynomial?

5n³-10n²+3n-6

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Normal Factoring

What method should you use to factor the polynomial?

n³-216

• Sum of 2 Cubes

• Factor out the GCF

• Difference of Squares

• Difference of 2 Cubes

What method should you use to factor the polynomial?

2n³+54

• Sum of 2 Cubes

• Factor out the GCF

• Difference of Squares

• Difference of 2 Cubes

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

What is the GCF of the trinomial?
3x² - 9x -120

• 3
• 2
• 6
• 9

Factor:   x³ + 512

• (x + 8)(x² - 8x + 64)

• (x + 8)(x² + 8x -64)

• (x-8)(x + 2)

• (x - 8)(x² - 8x - 64)

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)
• (x²+2)(x-7)
• (x²+2)(x+7)
• (x²-2)(x+7)

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

Factor:

x⁴ − 7x² − 18

• (x + 3)²(x² − 2)

• (x − 3)²(x² + 2)

• (x² + 9)(x² − 2)

• (x − 3)(x + 3)(x² + 2)