Factoring Polynomials

Factor by using GCF:

3x³ + 9x² - 15x

• x(3x² + 9x - 15)

• 3x(x² + 3x - 5)

• 3x(x² - 9x + 15)

• x(3x² -9x + 15)

What is the first step when factoring polynomials?

• Find the GCF
• List all the terms
• Make a triangle
• Write the answer

What is the greatest common factor of 30x and 56x²

• 4x

• 6x

• 2x

• x

Mathematical Equivalence

ON

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

Factor the polynomial. 
x²-4x-32

• (x-8)(x+4)
• (x-4)(x-32)
• (x+3)(x-4)
• x+2)(x+5)

Find the product.
(x + 7)²

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

Factor
a² - a - 12

• (a - 4)(a + 3)
• (a + 6)(a - 4)
• (a - 6)(a + 4)
• (a + 4)(a - 3)