Algebra End Review 1

Polynomial +/-

100

(3x-5)+(7x-9)

10x-14

200

(11x²-3x+8) +(4x²+10)

15x²-3x+18

300

(2a²+4a³)-(3a³+8)

a³+2a²-8

400

(17x²-8)+(17x²+10+x³)

x³+34x²+2

500

(20x²-9x³)-(7x³-10x⁴-14x²)

10x⁴-16x³+34x²

Find GCF

100

15x-20y

5(3x-4y)

200

16xy+4xy²

4xy(4+y)

300

7w⁵-35w²

7w²(w³-5)

400

10c³d²-15cd³

5cd²(2c²-3d)

500

3y⁴+9y²-15y

3y(y³+3y-5)

Find x&y intercepts

100

X-2y=-10

(-10,0) (0,5)

200

3x-y=9

(3,0) (0,-9)

300

6x-y=12

(2,0) (0,2)

400

2x+3y=6

(3,0) (0,2)

500

7x+5y=42

(6,0) (0,42/5)

Slope

100

Find Slope

(10,3) and (15,13)

m=2

200

Find slope

(-5,0) and (10,-15)

m=1

300

Find Slope

(12,6) and (-8,-2)

m=2/5

400

Find Slope

(-5,-5) and (2,-7)

m=-2/7

500

Find slope

(-8,2) and (-2,-6)

m=4/5

Factoring

100

Use Foil

(m+6) (m-3)

m²+3m-18

200

Use Foil

(X-5) (x+7)

x²+2x-35

300

Factor

x^2--2x-24

(x-6) (x+4)

400

Factor

a²+11a+18

(a+2) (a+9)

500

Factor using FOIL:

(5x-4y) (x+8y)

5x²+36xy-32y²