REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor into two binomials: x^2+10x+25

(x+5)(x+5)

200

Factor into two binomials: x^2-12x+27

(x-9)(x-3)

300

Factor into two binomials: x^2+2x-24

(x+6)(x-4)

400

Factor into two binomials: x^2-5x+6

(x-3)(x-2)

500

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

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

Factoring trinomials when a>1

100

Factor 2x^2-7x+6

(2x-3)(x-2)

200

Factor 9x^2+6x+1

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

300

Factor 2x^2-x-6

(x-2)(2x+3)

400

Factor 4y^2+12y+9

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

500

Factor: ax^2-bx-ax+b

(x-1)(ax-b)

Factor using the GCF

100

Factor 3x^2-12x

3x(x-4)

200

Factor: x^(b+1)-x^b

x^b (x-1)

300

Factor: 16x⁴+4x³

4x³(4x+1)

400

Factor:-2x⁵+4x⁴+6x³= 0

-2x³(x+1)(x-3)

500

Solve the equation:

-2x^4+2x=0

x=0,x=1

Factor using completing the square

100

Solve completely by completing the square:

 x²-12x+11=0

x=11 x=1

200

Solve completely by completing the square:

 x²+14x-51=0

x=3,x=17

300

Solve completely by completing the square:

x² + 16x – 9 = 0    

x=-sqrt(73)-8

x=sqrt(73)-8

400

Solve completely by completing the square:

x² - 4x – 91 = 7

-sqrt(102)+2

sqrt(102)+2

500

Solve completely by completing the square:

8x² +16x = 42

x=3/2, x=-7/2

Factoring using difference of squares

100

Factor: x^2-16

(x+4)(x-4)

200

Factor: 9-x^2

(3+x)(3-x)

300

25y^2-4k^2

(5y+2k)(5y-2k)

400

(1/4)x^2-(49/25)

(1/2x-7/5)(1/2x+7/5)

500

x^2+100

Can not be factored because of the plus sign.