Factoring trinomials when a=1
Factor using the GCF
Factor Completely
D.O.T.S
Vocabulary
100
Factor into two binomials: x^2+10x+25
(x+5)(x+5)
100
Factor 3x^2-12x
3x(x-4)
100
Factor completely: a^2b^2-144a^2
a^2(b+12)(b-12)
100

Factor: x^2-16

(x+4)(x-4)

100

Factors

What are the numbers you multiply together to get another number?

200
Factor into two binomials: x^2-12x+27
(x-9)(x-3)
200

Factor: 3x^2+2x^3

x^2(3+2x)

200
Factor completely: x^4-625
(x+5)(x-5)(x^2+25)
200
Factor: 9-x^2
(3+x)(3-x)
200

Trinomial 

What is a polynomial with 3 terms?

300
Factor into two binomials: x^2+2x-24
(x+6)(x-4)
300

Factor: y^2+2y^3

y^2(1+2y)

300
Factor completely: y^4-81
(y^2+9)(y+3)(y-3)
300
25y^2-4k^2
(5y+2k)(5y-2k)
300

Coefficient

What is the number in front of a variable?

400
Factor into two binomials: x^2-5x+6
(x-3)(x-2)
400
Factor: 4ab^2-12a^2b
4ab(b-3a)
400
Factor completely: 2x^3+14x^2-60x
2x((x+10)(x-3)
400

(1/4)x^2-49

(1/2x-7)(1/2x+7)

400

Expression

What is a mathematical phrase that combines operations, numbers, and/or variables?

500

Factor into two binomials: y^4-7y^2-18

(y^2-9)(y^2+2)

500

x^2-4x^4

x^2(1-4x^2)

500
Factor completely: 80-5d^2
5(4+d)(4-d)
500
x^2+100
Can not be factored because of the plus sign.
500

Prime Factorization

What is a way of expressing a number as a product of its prime factors?

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