Polynomials

Classifying Polynomials

100

Classify 4x by degree AND by number of terms.

Linear and Monomial

200

Classify 3x² - 8 by degree and number of terms.

Quadratic and binomial

300

Classify 7x - 8x⁵ - 2 by degree and number of terms.

Quintic and trinomial

400

Classify 7x³ - 2x⁴ + 8x + 9 by degree and number of terms.

Quartic and polynomial.

500

Classify 8x - 2x³ + 9x⁴ by degree and number of terms.

Quartic and trinomial.

Adding Polynomials

100

(11x - 5) + (3x - 14)

14x - 19

200

(-5k² - 11k + 18) + (3k² + 8x -2)

-2k² - 3k + 16

300

(8x + 3) + 3(4x - 5)

20x - 12

400

(7x³ - 8x - 10) + 4(2x³ - 3x² + 1) 

15x³ -12x² - 8x - 6

500

7(x² + 4x - 1) + 3(2x² - 5x - 3)

13x² + 13x -16

Subtracting Polynomials

100

(2x - 5) - (3x - 1)

-x - 4

200

(3x² + 4) - 2(x² - 3)

x² + 10

300

(1 - 7x) - (7x - 16)

-14x + 17

400

(7x³ + 16x² - 14) - (8x³ - 5x - 11)

-x³ + 16x² + 5x - 3

500

x(x³ -5x² + 7x) - x(x² - 1)

x⁴ - 6x³ + 7x² + x

Squaring Polynomials

100

(x + 4)²

x² + 8x + 16

200

(2x + 3)²

4x² + 12x + 9

300

(3x + 4)²

(9x² + 24x + 16

400

(2x - 1)²

4x² - 4x + 1

500

(9 - 5y)²

25y² - 90y + 81

Multiplying Polynomials

100

(3x - 8) (2x + 1)

6x² - 13x - 8

200

(8x² - 4) (x - 2)

8x³ - 16x² - 4x + 8

300

(x - 4y) ( 5x + 3y) 

5x² -17xy - 12y² 

400

(7x - y) (7x + y)

49x² - y²

500

(2x - 1)³

8x³ - 12x² + 6x - 1