Factoring

GCF and Binomials

100

8r²+12r

4r(2r+3)

200

What is the GCF of 12x², 9x, and 18x⁴?

3x

300

25r²-49

(5r+7)(5r-7)

400

What is the GCF of these three terms?

8t⁵u³-40t⁴u⁵+8t³u

4t³u

500

w⁴-625

(w²+25)(w+5)(w-5)

Trinomials a=1

100

x²+20x+51

(x+3)(x+17)

200

y²-17y+72

(y-8)(y-9)

300

x²+4x+12

Prime

400

y²-12y-13

(y-13)(y+1)

500

n²+5n-24

(n-3)(n+8)

Trinomials a>1

100

5t²+15t+10

5(t+2)(t+1)

200

4h²+8h-5

(2h-1)(2h+5)

300

24x²-6x-3

3(4x+1)(2x-1)

400

4x²+12x+9

(2x+3)(2x+3)

500

36x²-18x+9

9(4x²-2x+1)

Polynomials

100

z²-6z+7z-42

(z+7)(z-6)

200

24ty-18t+4y-3

(6t+1)(4y-3)

300

21m-3mp+4p-28

(3m-4)(7-p)

400

3c³+2c²-147c-98

(c-7)(c+7)(3c+2)

500

3t³-7t²-3t+7

(3t-7)(t+1)(t-1)

Miscellaneous

100

What is the leading coefficient of this polynomial?

4x+12+2x³-3x²

2

200

What is the process for factoring a polynomial with 4 terms?

Factoring by Grouping

300

How can you check your answer for a factoring problem?

FOIL or distribute

400

The factors of a negative number need to have what signs?

Positive and Negative (one of each)

500

What is a perfect square?

A number whose square root is a whole number.