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

(6x²)(5x)

30x³

200

(x²yz)(x²y⁴)

x⁴y⁵z

300

3x²(2x - 4)

6x³ - 12x²

400

(x⁴+3x)(2x² - 4x +8)

2x⁶ - 4x⁵ +8x⁴+6x³ -12x² 24x

500

(2x³y⁴)(5xy)

What is 10x⁴y⁵?

More Multiplying

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

(5b − 6)(5b² + 4b − 2)

25b³ − 10b² − 34b + 12

500

(8n² + n − 4)(6n² − 6n − 4)

48n⁴ − 42n³ − 62n² + 20n + 16

Miscellaneous

100

What do you call a polynomial with 3 terms?

Trinomial

200

The highest exponent in a polynomial determines this important characteristic

What is the degree?

300

This is the trinomial equivalent of (2x - 3)²

What is 4x² - 12x + 9?

400

What is the degree of the following function? 

x⁴+3x²+7

What is 4th degree or degree of 4?

500

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

What is a Quadratic Function?