Adding/Subtracting/Multiplying Polynomials

Classifying Polynomials

100

What is one way you can classify a polynomial?

The number of terms in the polynomial

The degree of the polynomial

200

How many terms are in a binomial?

2

300

Classify the following: 

5x³+2x-1

Cubic Trinomial

400

a polynomial where the highest degree is 4 is called what?

Quartic

500

Classify the following polynomial based on its degree: 

6x⁴ + 8x⁵ - 2x

Quintic

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

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

(5b − 6)(5b 2 + 4b − 2)

25b³ − 10b² − 34b + 12

500

(8n 2 + n − 4)(6n 2 − 6n − 4)

48n⁴ − 42n³ − 62n² + 20n + 16

Mixed!

100

Add the following:

(10x⁶) + (12x⁶)

22x⁶

200

How many terms are in a monomial?

1

300

Multiply the following:

4x(6x³ - 20)

24x⁴-80x

400

Subtract the following 

(9x³ - 6x² + 7) - (15x³ - 4)

-6x³ - 6x² + 11

500

Multiply the following:

(x - 2)²

x² - 4x + 4