Add/Subtract/Multiply Polynomials

Polynomial Names

100

What is the degree of this polynomial?

3x⁷+4x⁵-2x²+8

7

200

What is the name of a 4th degree polynomial? 

Quartic

300

Name the polynomial by its degree and number of terms:  4x³+2x²

Cubic binomial

400

Name the polynomial by degree and number of terms:

-6x²+5x-9

Quadratic Trinomial

500

What are the names (in order) of the first six degrees of polynomials (starting with degree = 0)?

Constant, Linear, Quadratic, Cubic, Quartic, Quintic

Adding

100

(9x + 7) + (8x + 3)

16x+10

200

(2x² + 3x - 1) + (-4x² - 5x + 1)

-2x²-2x

300

(3x² + 7x + 4) + (6x² – 9x - 1)

9x²-2x+3

400

(7x³ + 4x – 1) + (2x² –x)

7x³+2x²+3x-1

500

(-a³ + 2a – 8) + (4a⁴+2a³-3a+7)

4a⁴+a³-a-1

Subtracting

100

(3x + 2) - (4x + 7)

-x - 5

200

(3x² + 6x + 8) - (2x² - 4x + 1)

x²+10x+7

300

(3x² + 7x + 4) - (6x² – 9x - 1)

-3x²+16x+5

400

(7x³ + 4x – 1) - (2x² –x)

7x³-2x²+5x-1

500

(-a³ + 2a – 8) - (4a⁴+2a³-3a+7)

-4a⁴-3a³+5a-15

Multiplying

100

5x(2x – 7)

10x²-35x

200

(x + 4)(2x - 6)

x²+2x-24

300

(3x - 2)(7x – 9)

21x²-41x+18

400

(x+3)(2x²+4x-5)

2x³+10x²+7x-15

500

(2x - 7)(3x² - x + 5)

6x³-23x²+17x-35

Special Products

100

(x+3)(x-3)

x²-9

200

(x+4)²

x²+8x+16

300

(2x-5)(2x+5)

4x²-25

400

(x - 6)²

x²-12x+36

500

(2x + 7)²

4x²+28x+49