Factoring Polynomials Review

Mathematical Equivalence

ON

Factor
r² -16r + 60

• (r - 15)(r + 4)
• (r - 6)(r + 10)
• (r - 6)(r - 10)
• (r +30)(r - 2)

Factor:
 2n²-8n³

• 2n²(n-4n²)
• 2n²(1-4n)
• 2n³(10-8n²)
• 3n(1-4n)

Factor Completely:
x² - 36

• (x + 9)(x - 4)
• (x - 6)(x - 6)
• (x - 9)(x + 4)
• (x + 6)(x - 6)

x² + 81

• Prime
• ( x - 9 ) ( x + 9 ) 
• ( x + 9 ) ( x + 9 ) 
• ( x - 9 ) ( x - 9 ) 

Simplify the expression:
(8 - 3x² - 7x) + (x⁴ - 4x - 7x²)

• x⁴ - 6x² - 11x + 8
• x⁴ - 10x² - 11x + 8
• x⁴ - 6x² - 11x + 15
• -3x⁴ - 6x² - 11x + 15

Find the product.
(x + 7)²

• x² + 7x + 7x + 49
• x² + 7x + 7
• 7x² + x + 7
• x² + 14x + 49

What method should you use to factor the polynomial?

5n³-10n²+3n-6

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Trinomials (ac,b,T-chart)

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