Factoring Practice

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

Factor:
x² - 5x - 14

• (x - 2)(x + 3)
• (x - 2)(x + 7)
• (x + 2)(x - 7)
• (x - 2)(x - 3)

Factor Completely: (Factor out GCF, then factor trinomial)

3x² + 18x +15

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Not Factorable

Factor:
2x² + 11x + 14

• (x + 7)(2x + 2)
• (x + 2)(2x + 7)
• (x + 14)(2x + 1)
• (x + 1)(2x + 14)

Factor:x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)
• (5x - 9)(5x - 9)
• (5x + 9)(5x + 9)
• Cannot be factored

Factor by grouping:
3x³-x²+6x-2

• (x²+2)(3x+1)
•  (x²+2)(3x-1)
• (3x³+6x)(x²-2)
• none of the aboe

Factor: x²-13x+40

• (x-5)(x-8)
• (x+5)(x+8)
• (x-4)(x-10)
• (x-2)(x-20)

Factor:
x² + 7x - 30

• (x + 10)(x - 7)
• (x - 10)(x + 3)
• (x + 10)(x + 3)
• (x + 10)(x - 3)