FACTORING REVIEW

Factoring trinomials when a=1

100

x²+10x+25

(x+5)(x+5)

200

x²-12x+27

(x-9)(x-3)

300

x²+2x-24

(x+6)(x-4)

400

x²-5x+6

(x-3)(x-2)

500

y²-7y-18

(y-9)(y+2)

Classify the Expression

100

2x²-7x+6

Quadratic 

Trinomial

200

x⁴+6x

4th Degree

Binonial

300

-14yx²

Cubic

Monomial

400

4x³y²+12y²+9y+2

5th Degree

Polynomial

500

1-5xy+18xyz-8xz⁵y³  

9th Degree

Polynomial

Factor using the GCF

100

3x²-12x

3x(x-4)

200

3x+6

3(x+2)

300

4ab-8

4(ab-2)

400

4ab²-12a²b

4ab(b-3a)

500

3x²y²-2xy

xy(3xy-2)

Combining Polynomials

100

(3x² + 6x - 10) +(4x + 8)

3x² + 10x - 2

200

3x(4x²-7x+1

12x³ - 21x² +3x

300

(x - 8)(x + 4)

x² - 4x - 32

400

(3x - 4)²

9x² - 24x + 16

500

(3x³ - 4x² - 8y + 9) - (9x² - 12y - 21)

3x³ - 13x² + 4y +30

Factoring the difference of two perfect squares

100

x²-16

(x+4)(x-4)

200

9-x²

(3+x)(3-x)

300

y²-4

(y+2)(y-2)

400

4x²-400

4(x-10)(x+10)

500

x²+100

Can not be factored because of the plus sign.