Add, Subtract, & Multiply Polynomials

Standard Form/Classifying

100

Classify the polynomial by the degree and number of terms:

2x³

Cubic, Monomial

200

Classify the polynomial by Degree and Number of Terms

5a² - 6a

Quadratic, Binomial

300

Classify the polynomial by Degree and Number of Terms

-6a⁴ + 10a³

Quartic, Binomial

400

Identify the coefficients in this polynomial

-10k³ + k +1

-10, 1

500

What is the degree of a constant? 

Zero

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

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

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

(2x)(x + 2)

2x² + 4x

300

Multiply the Polynomials:

(-3m)(-4m - 6)

12m² + 18m

400

Multiply the Polynomials:

(4n - 1)(5)

20n - 5 

500

Multiply the Polynomials:

(6d)(d² - 4d + 1)

6d³ - 24d² +6d

Dividing Polynomials

100

8p³+4p²+6p ÷ 2

4p³+2p²+3p

200

18x³+9x²+45x ÷ 9x

2x²+x+5

300

45x³+3x²+36x ÷ 9x²

5x+1/3+4/x

400

6n³+n²+30n ÷ 6n²

n+1/6+5/n

500

5x³+30x²+30x ÷ 10x²

x/2+3+3/x