Factor using the GCF
Factor using AM Trinomial
Factoring using D.O.T.S.
Factor completely
Vocab
100

Factor 3x2-12x

3x(x-4)

100

Factor into two binomials: x2+10x+25

(x+5)(x+5)

100

Factor: x2-16

(x+4)(x-4)

100

Factor completely: 2x2-72

2(x+6)(x-6)

100

A math phrase containing numbers, variables, and operators. No equal sign.

Expression

200

Factor: 4ab2-12a2b

4ab(b-3a)

200

Factor into two binomials: x2-12x+27

(x-9)(x-3)

200

Factor: 4x2-25

(2x+5)(2x-5)

200

Factor completely: 3a2-15a+12

3(x-4)(x-1)

200

The biggest number that divides exactly into two or more numbers.

Greatest Common Factor

300

Factor: 6c4-24c3-30c2

6c2(c2-4c-5)

300

Factor into two binomials: x2+2x-24

(x+6)(x-4)

300

9-x2

(3+x)(3-x)

300

Factor completely: a2b2-144a2

a2(b+12)(b-12)

300

The act of separating an expression into its factors.

Factoring

400

Factor: 10x2-25y2

5(2x2-5y2)

400

Factor into two binomials: x2-5x+6

(x-3)(x-2)

400

Factor: 49x2-16

(7x+4)(7x-4)

400

Factor completely: 2x3+14x2-60x

2x(x+10)(x-3)

400

A number that when multiplied with another produces a given number

Factors

500

Factor: -3x2y-12x3y

-3x2y(1+4x)

500

Factor into two binomials: x2-8x-48

(x-12)(x+4)

500

x2+100

Can not be factored because of the plus sign.

500

Factor completely: 80-5d2

5(4+d)(4-d)

500

The product of a rational number multiplied by itself

Perfect Square

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