Polynomials

Vocab / Classify

100

Classify the polynomial by the Degree and Terms:

2x + 1

Linear Binomial

200

Classify the polynomial by the Degree and Terms: 

 - 6a - 5a² + 2

Quadratic Trinomial

300

Name the leading coefficient and constant:

-10k³ + k +1 

Leading Coefficient = -10

Constant = 1

400

Classify the polynomial by degree and terms:

10a³ - 6a⁴

Quartic Binomial 

500

Write in Standard Form then Classify by the Degree and terms.

4x - 9x² + 4x³ - 5x⁵

-5x⁵ + 4x³ - 9x² + 4x

Quintic Polynomial

Adding Polynomials

100

Add the Polynomials

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

5x + 5

200

Add the polynomials:

(-3a² - 2) + (7a² + 5)

4a² + 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:

(-5h² - 2) - (7h² +6)

-12h² - 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:

(4x² - 3x) - (x² -2x + 4)

3x² - x - 4

Multiplying Polynomials

100

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

200

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

300

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

400

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

500

(-8x³ + 4x² - 2x)(-6x⁴ - 8x³ - 4x²)

48x⁷ + 40x⁶ + 12x⁵ + 8x³

More Multiplying Polynomials

100

Multiply the Polynomials:

5x⁵(3x⁶ - 4x² - 1)

15x¹¹ - 20x⁷ - 5x⁵

200

Multiply the following Polynomials:

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

9x² - 4

300

Multiply the Polynomials:

(2x + 4)²

4x² +16x + 16

400

Multiply the following Polynomials:

(x - 2)(x² + 3x - 4)

x³ + x² - 10x + 8

500

Multiply the Polynomials:

(7f⁴ +4f³ - 3f²)(2f³ + 6f² - 6f)

14f⁷ + 50f⁶ - 24f⁵ - 42f⁴ + 18f³