Polynomials Review

Miscellaneous

100

What is the largest coefficient:

3x²+2x⁴

3

200

What is the degree?

7x²y + 2xy³ - 5x³

4

300

How many different variables are there?

ab² - a³ + a²b²c

3

400

What is the sum:

(4x + 2) + (-3x + 7)

x+9

500

What is the difference:

(6x² - 5x + 14) - (-2x² + 7x - 6)

8x² + 2x + 20

Multiplying monomials

100

(3x)(7x)

21x²

200

(2x²)(-x²)

-2x³

300

(4x²y)(3y²)

12x²y³

400

(100x⁵y²)(5y³)

500x⁵y⁵

500

(3a²b³c⁴)(9a³b²cd)

27a⁵b⁵c⁵d

Dividing monomials

100

(21x²)÷(7x)

3x

200

(-12x²)÷(-4x)

3x

300

(16n⁴m)÷(8m)

2n²

400

(22x¹⁴)÷(11x¹¹)

2x³

500

(56abcdefg)÷(7abcde)

8fg

Multiplying Polynomials

100

(x)(x+4)

x²+4x

200

(x²)(x³-2x)

x⁵-2x³

300

(2x²y - 6)(3x)

6x³y - 18x

400

(-4x⁵y³ + 2xy)(-y²)

4x⁵y⁵ - 2xy³

500

(x + 1)(x - 2)

x² + x - 2

Dividing Polynomials

100

(25x² + 15x) ÷ 5

5x² + 3x

200

(-2x³ - 2x² + 4x) ÷ 2x

-x² - x + 2

300

(6x³ - 18x² - 12x) ÷ 6x

x² - 3x - 2

400

(18xy + 24x²y² - 27x³y²) ÷ 3xy

6 + 8xy - 9x²y

500

(-14x⁴y³ - 28x³y⁴ + 63x²y) ÷ -7xy

2x³y² + 4x²y³ - 9x