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

(2r² - 5r + 7) + (3r³ - 6r)

3r³ + 2r² -11r + 7

500

(5r³ - 6r² +3r) + (r² -2r - 3)

5r³ - 5r² + r - 3

Subtraction of Polynomials

100

(y² - 10xy) - (2y² + 3xy)

-y² -13xy

200

(2x² + 5x - 3) - (3x³ + 2x - 5)

-3x³ + 2x² +3x + 2

300

(-3a² - 2a) - (4a² - 4)

-7a² - 2a + 4

400

(4x³ + 5x + 2) - (1 + 2x - 3x²)

4x³ + 3x² +3x + 1

500

(4 - x - 2x²) - (-2 + 3x - x³)

x³ - 2x² - 4x + 6

Multiply Polynomials (challenge)

100

(6x²)(5x)

30x³

200

(x²yz)(x²y⁴)

x⁴y⁵z

300

3x²(2x - 4)

6x³ - 12x²

400

3xy(x⁴+3xy)

3x⁵y+9x²y²

500

(2x³y⁴)(5xy)

What is 10x⁴y⁵?

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

(2x+4)²

4x²+16x+16

500

(x+4)(x-4)

x²-16

Naming Polynomials

100

What do you call a polynomial with 3 terms?

Trinomial

200

What do you call a polynomial with 1 term?

Monomial

300

What is the degree of the polynomial?

2x²+4x+4

2

400

What is the degree of the following function? 

x⁴+3x²+7

4

500

What is the degree of the following function?

4x⁵y³+2xy⁶+5⁵

8