Polynomial Review

Simplify

100

(3x+5) (2x-7)

5x-2

200

(4x² + 3x - 8) - (x² - 5x + 2)

3x² + 8x - 10

300

(6x³ - 2x² + 4x - 9) + (3x³ + 5x² - 7x + 2)

9x³ + 3x² - 3x - 79

400

(7x³ - 4x² + 6x - 1) - (2x³ + 3x² - 5x + 8)

5x³ - 7x² + 11x - 9

500

(5x⁴ - 3x³ + 2x² - 7x + 4) - (2x⁴^4 + 6x³^3 - 5x² + 3x - 9)

3x⁴ - 9x³ + 7x² - 10x + 13

Factoring >1

100

2x²+7x+3

(2x+1) (x+3)

200

3x²+10x+8

(3x+4)(x+2)

300

4x²+11x+6

(4x+3)(x+2)

400

6x²+13x+6

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

500

8x²-14x-15

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

Multiplying

100

3x(2x+5)

6x²+15

200

(x+4)(x+3)

x²+7x+12

300

(2x-5)(x+6)

2x²+7x-30

400

(3x+2)(2x²-x+4)

6x³+x²+10x+8

500

(2x² - 3x + 4)(x² + 5x - 2)

x⁴ + 7x³ - 16x² + 26x - 82

Factor

100

x²+7x+12

(x+3)(x+4)

200

x²-9x+20

(x-4)(x-5)

300

x²+2x-15

(x+5)(x-3)

400

x²-11x+28

(x-4)(x-7)

500

x²-3x-40

(x-8)(x+5)

End Behavior

100

X³ 

Down to Up

200

-x⁴

Both ends are facing down

300

-2x⁵

Up to down

400

-3x³+2x²-1

Up to down

500

4x⁴+-3x³-2x²+x

Both ends are UP