Multiplying Polynomials
Common Factors/ Special Products
Factoring
Definitions/
Properties
100

Multiply the Polynomials:

3x(2x - 5)

6x2 - 15x

100

Factor by using greatest common factor:

30x-42

6(5x-7)

100

Factor:

p2 +2p -35

(p-5)(p+7)

100

Numbers or expressions that are multiplied

Factors

200

Multiply the Polynomials:

(x - 3)(x + 2)

x2 - x - 6

200

Factor by using greatest common factor:

5a3+2a2

a2(5a+2)

200

Factor:

x2 - 8x - 48

( x -12 ) ( x + 4 )

200

Any number that can be expressed as a ratio of two integers.

Rational number

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m2 + 3m - 2

300

Factor:

x2 - 81

(x + 9)(x - 9)

300

Factor:  x2 - 4x - 21

( x + 3 ) ( x - 7 )

300

Any number which is the product of some number and itself.

Perfect square

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n2 + 13n - 4

400

Factor:

p2 - 100

(p + 10)(p - 10)

400

Factor completely:  3x2 -48

3 ( x + 4 ) ( x - 4)

400

Name the property:  3x - 24 = 3(x - 8)

Distributive

500

Multiply the Polynomials:

(d + 3)(d2 - 4d + 1)

d3 - d2 -11d + 3

500

Factor by using greatest common factor:

18n4+42np+6n

6n(3n3+7p+1)

500

Factor completely:  

16x4 - y4

(4x2 + y2 ) (2x + y ) ( 2x - y )

500

Fill in the blank:   (2x + 7)  (       )   =  1

1/(2x + 7)