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

100

(x + 4)(x - 2)

x² + 2x - 8 

200

(2x³y⁴)(5xy)

What is 10x⁴y⁵?

300

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

16m² + 28m + 10

400

(x⁴+3x)(2x² - 4x +8)

2x⁶ - 4x⁵ +8x⁴+6x³ -12x² 24x

500

(8n² + n − 4)(6n² − 6n − 4)

48n⁴ − 42n³ − 62n² + 20n + 16

Dividing Polynomials

100

(x³ - 7x² - 36x - 18) / (x +3)

What is x² -10x - 6?

200

(2x³ - 20x² +40x +50) / (x - 5) 

What is 2x² -10x -10?

300

(x³ + 5x² -32x -64) / (x + 8)

What is x² -3x - 8

400

(x⁴ + 4x² -3x - 14) / (x +2)

What is x³ - 2x² + 8x -19 + 24/x+2

500

(6x⁴ + 15x² +9) / (3x² + 6x)

What is 2x² - 4x + 13 - 78x+9/3x²+6x

Naming Polynomials/Fun Facts

100

What is the leading coefficient of the polynomial 

-7x⁴ + 3x³ - 5x² + 4x - 10

What is -7

200

What is the leading coefficient of the polynomial 

8x² - 2x - x³ + 14

What is -1

300

What is the degree of the following function? 

x⁴+3x²+7

What is 4th degree or degree of 4?

400

What do you call a polynomial with 3 terms?

Trinomial

500

What do you call a function with the degree of 2?

What is a Quadratic Function?