Adding/Subtracting/Multiplying Polynomials

Addition of Polynomials

100

(4x² + 2x) + (x² + 6x)

5x² +8x

200

(-3y² + y) + (4y² + 6y)

y² +7y

300

(2a² - 7a + 10) + (a² + 4a + 7)

3a² -3a +17

400

2(2r² - 5r + 7) + (3r - 6)

4r² - 7r + 8

500

3(r + 6) + (5r - 2) + (9r  - 16)

17r

Subtraction of Polynomials

100

(5y² - 10x²) - (2y² + 3x²)

3y² - 13x²

200

(2x² + 5x - 3) - (3x³ + 2x - 5)

-3x³ + 2x² +3x + 2

300

(-3a² - 2a) - (4a² - 4)

-7a² - 2a + 4

400

(4x² + 5x + 2) - (1 + 2x - 3x²)

7x² +3x + 1

500

2(3x² + 5x - 4) - (10x² + 10x + 8)

-4x² - 16

Multiply Monomials & Divide Polynomials

100

(6x²)(5x)

30x³

200

(x²yz)(x²y⁴)

x⁴y⁵z

300

(5x⁴)(-9x⁷)

-45x¹¹

400

(20x³ + 15x²) / 5x

4x² + 3x

500

(20x⁵y - 32x³y²) / 4xy

5x⁴ - 8x²y

Multiplying Polynomials

100

(x + 4)(x - 2)

x² + 2x - 8 

200

(a + 3)(a − 2)

a² + 1a − 6

300

(4m + 2)(4m + 5)

16m² + 28m + 10

400

(5m - 3)(5m + 3)

25m² - 9

500

(2a - 7)²

4a² - 28a + 49

Mixed Review

100

An expression with 3 terms is called a:

Trinomial

200

What is the degree of the monomial:

3x⁴y

5

300

An expression with two terms is called a:

Binomial

400

Find the degree of the polynomial:

3x³ + 7x - 4

3

500

What is the degree of a constant?

Example: 4

0