Polynomials

Degree and Name

100

3

Constant Monomial

200

7x + 4

Linear Binomial 

300

6x² + 7 - 9x⁴

Trinomial to the 4th degree

400

4x³

Cubic monomial

500

4xyz⁶ + 5567x¹² - 7abc³d³d⁴

Trinomial to the 12th degree

Adding Polynomials

100

Find the sum: (3x+4)+(7x+2)

What is 10x+6

200

Find the sum: (2x²+8x+4)+(x²-3x-2)

What is 3x²+5x+2

300

Find the sum: (4x²+5x+1)+(-2x²+7)

What is 2x²+5x+8

400

Find the sum: (12x³+4x²+7x+8)+(2x³-5x²+2x-10)

What is 14x³-x²+9x-2

500

Find the sum: (5x⁴+3x³-x²+2x+4)+(x⁴-6x³-2x²+6x+7)

What is 6x⁴-3x³-3x²+8x+11

Subtracting Polynomials

100

Find the difference: (6x²+2x+4)-(3x²+x+2)

What is 3x²+x+2

200

Find the difference: (5x²-4x-7)-(2x-9)

What is 5x²-6x+2

300

Find the difference: (4x²+6x+3)-(2x²+2x+2)

What is 2x²+4x+1

400

Find the difference: (7x²-2x+6)-(2x²-5x+4)

What is 5x²+3x+2

500

Find the difference: (2x³-3x²-3x+5)-(x³+2x²-4x+2)

What is x³-5x²+x+3

Multiplying Polynomials

100

Find the product: (x+2)(x+4)

What is x²+6x+8

200

Find the product: (x+3)(x-2)

What is x²+x-6

300

Find the product: (2x-6)(3x-2)

What is 6x²-22x+12

400

Find the product: (4x+2)(x+5)

What is 4x²+22x+10

500

The product of these two expressions is: x²-49

What is (x+7)(x-7)

Factoring Polynomials

100

12x - 6

6

200

42x³ + 14x² +7xy

x

300

25xyz + 5y² + 125 y

5y

400

64x⁴ + 16 x³ + 4x²

4x²

500

 9wx²-18wx+60w

3w