Factoring trinomials and DOPS
Find the factors
Factor using the GCF
Find the zeros
Square Roots
100

Factor into two binomials:

 x2-4

(x+2)(x-2)

100

Roots x=1 and x=4

(x-1)(x-4)

100

Factor 3x -12

3(x-4)

100

Find the zeroes 

 (x+3)(x-2)=0

x=-3  x = 2

100

Solve x-100=0

x= 10  x=-10

200

Factor into two binomials:

 x2-12x+27

(x-9)(x-3)

200

x-intercepts of 4 and -5

(x-4)(x+5)

200

Factor: 4y + 8x

4(y+2x)

200

Find the zeroes 

 x(x-1)=0

x=0  x=1

200

Solve  x2 -25=0

x=5  x=-5

300

Factor into two binomials: 

x2-25

(x+6)(x-4)

300

solution of a quadratic is x=3

(x-3)(x-3)

300

Factor  x2y5 + xy

xy(xy4 + 1)

300

Find the zeroes

 x(x-2)=0

x=0  x= 2

300

Solve x2 + 5 = 86

x= 9 x=-9

400

Factor into two binomials:

 x2-5x+6

(x-3)(x-2)

400

answer of a quadratic is x=-4

(x+4)(x+4)

400

Factor: 4ab2-12a2b

4ab(b-3a)

400

Find the zeroes  2x(x+1)=0

x=0  x= -1

400

x-9 = 40

x=7 x=-7

500

Factor into two binomials: y2 -8y-9

(y-9)(y+1)

500

Roots are x=a and x=-r

(x-a)(x+r)

500

x+3x - 10

(x+5) and (x-2)

500

Find the zeroes

 x(x-5)(x+1)(x-4)=0

x= 0  x= 5  x=-1  x=4

500

2x2-200 = 0

x=10 and x=-10

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