Polynomials

Classifying Polynomials

100

Classify by degree and number of terms.

2x³

3rd degree, 1 term; Cubic Monomial

200

Classify the polynomial by Exponent and Type.

 - 6a - 5a²

2nd and Binomial; Quadratic Binomial

300

Classify by degree and number of terms. 

-10k³ + k +1 

3rd degree and  Trinomial; Cubic Trinomial

400

Classify by degree and number of terms.

10a³ - 6a⁴

4th degree, 2 terms; Quatric binomial

500

Classify by degree and number of terms.

4x - 9x² + 4x³ - 5x⁴

4th degree, 4 terms; Quartic polynomial

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:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

400

Multiply the Polynomials:

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

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Dividing Polynomials

100

Divide the Polynomials:

(3x⁶ - 4x² - x)/x

3x⁵-4x-1

200

Divide the following Polynomials:

(6x²-12x)/6

x²-2x

300

Divide the polynomials

(-6x⁵+24x³+48x)/6x

-x⁴+4x²+8

400

Divide the following Polynomials:

(8x⁴y³+24x³y⁷-64x²y³)/8x²y³

x² + 6xy⁴-8

500

Divide the polynomials

(-56a⁴b⁶-14a⁵b³+7a²b³)/7a²b³

-8a²b³-2a³+1