Alg 1 Polynomials Review

Addition

100

(5p^2-3)+(2p^2-3p^3)

-3p^3+7p^2-3

200

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

7n^3+6

300

(-4k^4+14+3k^2)+(3k^4-14k^2-8)

-k^4-11k^2+6

400

(-7x^5+14-2x)+(10x^4+7x+5x^5)

-2x^5+10x^4+5x+14

500

(-9v^2-8u)+(-2uv-2u^2+v^2)+(-v^2+4uv)

-9v^2+2uv-2u^2-8u

Subtraction

100

(a^3-2a^2)-(3a^2-4a^3)

5a^3-5a^2

200

(4n-3n^3)-(3n^3+4n)

-6n^3

300

(3-6n^5-8n^4)-(-6n^4-3n-8n^5)

2n^5-2n^4+3n+3

400

(13a^2-6a^5-2a)-(-10a^2-11a^5+9a)

5a^5+23a^2-11a

500

(4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2)

14x^3y^2+x^2-6x

Multiplication

100

6v(2v+3)

12v^2+18v

200

(2n+2)(6n+1)

12n^2+14n+2

300

(x-8)^2

x^2-16x+64

400

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

7k^3-17k^2+55k-21

500

(6n^2-6n-5)(7n^2+6n-5)

42n^4-6n^3-101n^2+25

Factoring; a = 1

100

b^2+8b+7

(b+7)(b+1)

200

x^2-4

(x-2)(x+2)

300

n^2-n-56

(n+7)(n-8)

400

k^2+11k+30

(k+5)(k+6)

500

n^2+3n-54

(n+9)(n-6)

Factoring w/GCF

100

3v^2+12v-36

3(v+6)(v-2)

200

7n^2+35n+28

7(n+4)(n+1)

300

2p^2-8p-90

2(p-9)(p+5)

400

k^3-9k^2+18k

k(k-6)(k-3) 

500

-5x^2-35x-50

-5(x+2)(x+5)