Chapter 6.4 Review: Polynomials

Factoring by Grouping

100

Factor by grouping x^3+x^2+x+1

(x^2+1)(x+1)

200

18x^3-2x^2+27x-3

(2x^2+3)(9x-1)

300

x^3-2x^2-9x+18

(x+3)(x-3)(x-2)

Factoring with Substitutions

100

x^4+3x^2+2

(x^2+2)(x^2+1)

200

2x^4+11x^2-21

(2x^2-3)(x^2+7)

300

4x^4+39x^2-10 *Don't forget to simplify*

(2x-1)(2x+1)(x^2+10)

Solving Polynomials

100

x^3+27=0

x=3

200

x^4+7x^3-8x-56=0

x=-7; x=2

300

2x^4-26x^2+72=0

x=3; x=2

Special Factor Patterns

100

x^2-49

(x-7)(x+7)

200

x^3+27

(x+3)(x^2-3x+9)

300

16u^5-250u^2 *Factor something out first*

2u^2(2u-5)(4u^2+10u+25)

Misc. Factoring/Solving

100

Factor: x^2+10x+25

(x+5)(x+5)

200

2x(x-3)(2x+8)=0

x=0, x=3, x=4

300

DOUBLE POINTS: 2x^5+24x=14x^3

x= 0, x= √3, x= -√3, x= 2, x= -2