Factoring Polynomials

GCF

100

5a²-15

5(a²-3)

200

 2y+8xy

2y(1+4x)

300

36xy²-48x²y

12xy(3y-4x)

400

64-40xy

8(8-5xy)

500

a²h+a

a(ah+1)

Difference of Squares

100

y²-1

(y+1)(y-1)

200

-16+a²

(a+4)(a-4)

300

100x²-49

(10x-7)(10x+7)

400

4g⁶-81h²

(2g³-9h)(2g³+9h)

500

s¹²t⁴-4m²

(s⁶t²+2m)(s⁶t²-2m)

Grouping

100

3(x + 1) + x(x + 1)

(3+x)(x+1)

200

2my+7x+7m+2xy

(m+x)(2y+7)

300

6c²+3c+4c+2

(2c+1)(3c+2)

400

x² + 4x + 2x + 8

(x+2)(x+4)

500

4b² + 2b – 12b – 6

(2b-6)(2b+1)

Trinomials

100

p²-7p+12

(p-3)(p-4)

200

n²+3n-18

(n+6)(n-3)

300

y²+7x-44

(y+11)(y-4)

400

b²+8b-22

Prime

500

18x+32+x²

(x+16)(x+2)

Factoring Facts

100

A binomial has how many terms?

2

200

A trinomial has how many terms?

3

300

Give an example of standard form?

ax²+bx+c

400

When the "Add " goal number is negative and the "Multiply" goal number is positive we know what about the factors?

Both factors must be negative. 

500

When the "Add " goal number is positive and the "Multiply" goal number is negative we know what about the factors?

The larger factor is positive and the smaller factor is negative.