Polynomial Operations Review

Adding Polynomials

100

Simplify: 

(4x+7) + (3x-2)

7x+5

200

Simplify:

(2x²+5x-1) + (3x²-4x+6)

5x²+x+5

300

Simplify:

(6x³-2x²+4) + (-3x³+5x²-7)

3x³+3x²-3

400

Simplify:

(5x⁴-x²+8x) + (2x⁴+3x²-6x+1)

7x⁴+2x²+2x+1

500

Simplify:

(3x⁵-2x³+x-9) + (-x⁵+6x³-4x+12)

2x⁵+4x³-3x+3

Subtracting Polynomials

100

Simplify:

(9x+4) - (2x-3)

7x+7

200

Simplify:

(5x²−3x+6) − (2x²+x−4)

3x²-4x+10

300

Simplify:

(4x³−x²+8x) − (x³+3x²−2x)

3x³-4x²+10x

400

Simplify:

(7x⁴−2x³+x−5) − (3x⁴+x³−4x+6)

4x⁴-3x³+5x-11

500

Simplify:

(2x⁵−4x²+3x−8) − (−x⁵+6x²−5x+10)

3x⁵-10x²+8x-18

Multiplying Polynomials

100

Multiply:

(x+6)(x+2)

x²+8x+12

200

Multiply:

(3x−5)(x+4)

3x²+7x-20

300

Multiply:

(x−3)(x²+2x−5)

x³-x²-11x+15

400

Multiply:

(2x²+x−3)(x−2)

2x³-3x²-5x+6

500

Multiply:

(3x²−2x+1)(2x²+x−4)

6x⁴-x³-12x²+9x-4

Factoring

100

Factor:

x²+11x+24

(x+3)(x+8)

200

Factor:

x²-25

(x+5)(x-5)

300

Factor:

2x²+9x+4

(x+4)(2x+1)

400

Factor:

4x²-36

4(x+3)(x-3)

500

Factor:

x³-16x

x(x+4)(x-4)

Misc.

100

Classify by degree and number of terms:

7x⁴-3x²+8

Quartic Trinomial

200

Classify by degree and number of terms:

5x³-2x²+x-9

Cubic Polynomial of 4 terms (cubic quadrinomial)

300

Simplify and Classify:

(x+4)²

x²+8x+16

Quadratic Trinomial

400

Simplify and Classify:

(x+2)² - (x²-4)

4x+8

Linear Binomial

500

FINAL JEOPARDY:

Multiply, simplify, and classify:

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

x⁴+4x³+x²-6x

quartic Polynomial of 4 terms (4th degree quadrinomial)