Polynomial Operations

Classifying

100

Classify the following polynomial:

2x + 1

Linear Binomial

200

Classify the following polynomial:       

3x²+2x-1

Quadratic Trinomial

300

Classify the following polynomial:    

6x³

Cubic Monomial

400

Classify the following polynomial:    

3x³+4x+2

Cubic Trinomial

500

6

Constant Monomial

Adding

100

Add the following polynomials:

(5x²+2x) + (2x² - 6x)

7x² - 4x

200

Add the following Polynomials:

(5a + 4) + (5a + 3)

10a + 7

300

Add the following polynomials:

(3x⁴ - 3x) + (-3x⁴ + 3x)

0

400

Add the following polynomials:

(-4k⁴ + 14 + 3k²) + (-3k⁴ - 14k²-8)

-7k⁴ - 11k² + 6

500

Add the following polynomials:

(-7x⁵ + 14 - 2x) + (10x⁴ + 7x + 5x⁵)

-2x⁵ + 10x⁴ + 5x + 14

Subtracting

100

Subtract the following polynomials:

(5a + 4) - (5a + 3)

1

200

Subtract the following Polynomials:

(3a² + 1) - (4 + 2a²)

a² - 3

300

Subtract the following polynomials:

(4n - 3n³) - (3n³ + 4n)

-6n³

400

Subtract the following polynomials

(8k + k² - 6) - (-10k + 7 - 2k²)

3k² + 18k - 13

500

Subtract the following polynomials

(14p⁴ + 11p² - 9p⁵) - (-14 + 5p⁵ - 11p²)

-14p⁵ + 14p⁴ + 22p² + 14

Multilpying

100

Multiply:

2x(-2x-3)

-4x² - 6x

200

Multiply:

(x - 3)(6x - 2)

6x² - 20x + 6

300

Multiply:

(6p + 8)(5p - 8)

30p² - 8p - 64

400

Multiply:

(x + 5)²

x² + 10x + 25

500

Multiply:

(7x - 3)(x² - 3x + 7)

7x³ - 24x² + 58x - 21

Dividing

100

Divide:

8n² + 4n / 2n

4n + 2

200

Divide:

-14n⁴ - 21n³ / 7n³

-2n - 3

300

Divide:

-18x⁷ - 27x⁹ / -9x³

3x⁶ + 2x4

400

Divide:

-8n⁴ - 4n³ / 2n

-4n³ - 2n²

500

Divide:

10x⁴y³ + 5x²y + 15xy / 5xy

2x³y² + 1x + 3