REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor into two binomials: x²+10x+25

(x+5)(x+5)

200

Factor into two binomials: x²-12x+27

(x-9)(x-3)

300

Factor into two binomials: x²+2x-24

(x+6)(x-4)

400

Factor into two binomials: x²-5x+6

(x-3)(x-2)

500

Factor into two binomials: y² -8y-9

(y-9)(y+1)

Factoring trinomials when a>1

100

Factor 2x²-7x+6

(2x-3)(x-2)

200

Factor 9x²+6x+1

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

300

Factor 2x²-x-6

(x-2)(2x+3)

400

Factor 4y²+12y+9

(2y+3)(2y+3)

500

Factor: ax²-bx

x(ax-b)

Factor using the GCF

100

Factor 3x² -12x

3x(x-4)

200

Factor: 4xy + 8x

4x(y+2)

300

Factor  x²y⁵ + xy

xy(xy⁴ + 1)

400

Factor: 4ab^2-12a^2b

4ab(b-3a)

500

x² + 5x - 1

Prime

Find the zeroes

100

Find the zeroes  (x+3)(x-2)=0

x=-3  x = 2

200

Find the zeroes  x(x-1)=0

x=0  x=1

300

Find the zeroes x(3x-2)=0

x=0  x= 2/3

400

Find the zeroes  x(2x+1)=0

x=0  x= -1/2

500

Find the zeroes x(x-5)(x+1)(x-4)=0

x= 0  x= 5  x=-1  x=4

Square Roots

100

Solve x² =100

x= 10  x=-10

200

Solve  2x² = 50

x=5  x=-5

300

Solve x² + 5 = 86

x= 9 x=-9

400

x² -9 = 40

x=7 x=-7

500

x^2+100 = 0

No solution