Factoring DTS, Grouping, GCF, Trinomials A=1

Factor
a² - a - 12

• (a - 4)(a + 3)

• (a + 6)(a - 4)

• (a - 6)(a + 4)

• (a + 4)(a - 3)

Factor
n² + 16n + 63

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• (n+7)(n+9)

Factor
k² -2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

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 by GCF:
6x + 24

• 2(3x+12)

• 6(x+4)

• x(6+24)

• not factorable

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Find GCF of 22x³+11x²

• 11x

• 11x²

• 22x

• 22x²

Factor completely.
2n² + 13n + 15

• (5n - 9)(n - 3)

• (3n + 7)(n + 4)

• (2n + 3)(n + 5)

• Not factorable

What is a method of checking your work when factoring?

• FOIL

• asking the teacher every time

• assume you're correct

• division

Factor Completely:

2c² + 4c - 84

• (c-6)(2c+14)

• (c+7)(2x-12)

• (c-4)(2c+21)

• 2(c+7)(c-6)