Factoring (Gcf) - Algebra I

Factor Completely

3x² + 18x +15

Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Cannot be factored

Factor

4h² - 12h + 9

• (2h - 3)²

• 4(h + 9)(h + 1)

• (2h - 3)(2h + 3)

• (h - 9)(4h - 1)

Tags

CCSS.HSA.APR.C.4

What is the first question you ask yourself when factoring a polynomial? 

• How many terms does it have? 

• Is there a GCF? 

• What strategy should I use? 

• Why do I have to learn this?!?!?!

Factor
x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

• B,C
• A,B,C
• A,D,E
• D,E

Factor by GCF:
10x² + 15x - 5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

Factor

5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n²-3)(n-2)

• (5n³+3)(n-2)

• 10n(n²-6)

Factor
81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Tags

CCSS.HSA.APR.C.4

Factor Completely x^4-9x^2 Hint: Factor GCF first.

• x^2(x+3)(x-3)

• (x^2+3x)(x^2-3x)

• (x^2+9)(x-3)(x+3)

• x^2(x^2-9)

Tags

CCSS.HSA.APR.C.4

Factor x³ + 2x² - 49x - 98 

• (x² - 49) (x + 2) 

• (x² - 49) (x + 2) (x + 2) 

• (x + 7) (x - 7) (x + 2)