Algebra Unit 7 Review

Adding and Subtracting Polynomials

100

(3x^2+4x)+(2x^2+5x)

5x^2+9x

200

(5x^2+3x+4)-(2x^2+x+2)

3x^2+2x+2

300

(4x^3-2x^2+5)+(3x^3-4x+2)

7x^3-2x^2-4x+7

400

(2x^2+3x-5)

x^2+3x-1

500

(x^2+3x+4)+(2x^2-x)-(x^2+2)

2x^2+2x+2

Multiplying Polynomials

100

(x+2)(x+3)

x^2+5x+6

200

(2x)(3x²)

6x^2

300

(x+1)(x^2+3x+4)

x^3+4x^2+7x+4

400

(x-5)(x+5)

x^2-25

500

(2x+3)(x^2-x+4)

2x^3+x^2+5x+12

Special Cases

100

(x+a)^2

x^2+2ax+a^2

200

(x+2)(x-2)

x^2-4

300

(3x)^2-(4)^2

9x^2-16

400

(5x-3)^2

25x^2-30x+9

500

(5x+7(5x-7)

25x^2-49

Factoring when a = 1

100

x^2+5x+6

(x+2)(x+3)

200

x^2-9

(x-3)(x+3) 

300

x^2+4x+4

(x+2)^2

(x+2)(x+2)

400

x^2-6x+8

(x-2)(x-4) 

500

x^2+7x+10

(x+5)(x+2)

Factoring when a > 1

100

2x^2+8x

2x(x+4)

200

3x^2+12x+12

3(x^2+4x+4)

3(x+2)(x+2)

300

4x^2+8x+3

(2x+3)(2x+1)

400

6x^2-13x+6

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

500

2x^2+10x+12

2(x^2+5x+6)

2(x+2)(x+3)

Classifying Polynomials

100

Name the degree of the following polynomial: 

5x^3+2x^2+3

3rd degree  or cubic!

200

Name this polynomial 

x^4-5x^2+2

Fourth Degree trinomial 

300

Name this polynomial 

2x^5+3x^3+4

5th Degree Trinomial 

400

Simplify and THEN classify! 

(3x^4+2x^3-x)+(5x^3-2x^4+4x)

Fourth Degree trinomial 

x^4+7x^3+3x

500

Simplify THEN solve 

(2x^5-3x^3+x)-(4x^5-x^3+2x)

5th degree trinomial 

-2x^5-2x^3-x