Polynomials

Classifying Polynomials

100

Name the degree of the monomial

2x³

3rd degree

200

Classify the polynomial by degree and type.

 - 6a - 5a²

2nd degree binomial

300

Classify by degree and type. 

-10k³ + k +1 

3rd degree trinomial.

400

Name the degree, leading coefficient, and type of polynomial

10a³ - 6a⁴

4th degree binomial with a leading coeffiecient of 6

500

Name the degree and leading coefficient, then put the polynomial in standard form

4x - 9x² + 4x³ - 5x⁴

4th degree with leading coefficient of 5

-5x⁴ + 4x³ - 9x² +4x

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

Special Products

100

Multiply the Polynomials:

(x + 1)²

x² + 2x + 1

200

Multiply the Polynomials:

(2x - 3)²

4x² - 6x + 9

300

Multiply the Polynomials:

(2x + 4)²

4x² +16x + 16

400

Multiply the Polynomials:

(p + 1)(p - 1)

p² - 2

500

Multiply the Polynomials:

(3x + 8)(3x - 8)

9x² - 64