Polynomials

Classifying Polynomials

100

Classify the following by degree and number of terms.

x³+6

cubic binomial

200

Classify the following by degree and number of terms

m⁴+3m-2

quartic trinomial

300

Classify the following by degree and number of terms

3z²

quadratic monomial

400

Classify the following by degree number of terms

-4x+1

linear binomial

500

2t³-4t²-6t+8

cubic polynomial

Adding and Subtracting Polynomials

100

(4b⁴+7b)+(3b⁴-3b)

7b⁴+4b

200

(3p³+6p²)-(p³+3p²)

2p³+3p²

300

(-8x⁶-5x³)-(-4x³+2x⁶)

(-x³-10x⁶) or (-10x⁶-x³)

400

(7z⁴-5z³+2z²)-(2z⁴-9z³+z²)

5z⁴+4z³+z²

500

(8xy+6xy²-2x²y)+(-2xy²-xy+7x²y)

7xy+4xy²+5x²y

Multiplying Polynomials

100

2x(5x+1)

10x²+2x

200

-4k²(-2k⁵+8k)

8k⁷-32k³

300

(3r+2)(2r+1)

6r²+5r+2

400

(-2c²+3c)(-5c-2)

10c³-11c²-6c

500

(w+6)(2w²+3w-4)

2w³+15w²+14w-24

Dividing by Monomials

100

5x² / x

5x

200

(6x²+3x) / 3x

2x+1

300

(9a³-3a²+6a) / 3a

3a²-a+2

400

(-4c²+8c)/ 16c

(-c/4+1/2) or (-c+2)/4

500

(24h⁵+16h⁴+8h³+32h²+4h) / 4h

6h⁴+4h³+2h²+8h+1