Polynomials

Classifying Polynomials

100

Classify this: 5-3x²

Binomial, degree 2

200

Classify this: 9x⁴ - 8x³ + 1

Trinomial, degree 4

300

Classify this:  

10x² - 6x⁷ + 4x + 0 

Trinomial, degree 7

400

Put this in descending order:

12x³ + 9x⁵ - 10 + 8x² -27x + 2x⁸ - 6x⁶

2x⁸ - 6x⁶ + 9x⁵ + 12x³ +8x² - 27x - 10

500

Put this in descending order, then classify:

5x² - 6x + 9x³ - 3x + 9 + 3x² - 4

9x³ + 8x² -9x + 5

Degree 3, polynomial

Adding Polynomials

100

(3x + 1) + (7x - 5)

10x - 4

200

(2x² + 7x - 4) + (5x² - 3x + 6)

7x² + 4x +2

300

(3x² - 8x + 6) + (10x - 9)

3x² +2x - 3

400

(3x³ - 6x² + 9) + (5x³ + 8x - 1)

8x³ - 6x² + 8x + 8

500

( 1 + 5x² - 8x + 4x³ ) + (4x² + 5 - 17x)

4x³ + 9x² - 25x + 6

Subtracting Polynomials

100

(3x + 8) - (7x + 12)

-4x - 4

200

(2x² - 8x + 5) - (x² + x + 1)

x² -9x + 4

300

(3x³ + 8x² + 10x -3 ) - (2x² - 4x + 7)

3x³ + 6x² + 14x - 10

400

(3x⁴ - 5x² + 8) - (5x⁴ + 8x³ - 12x² -2)

-2x⁴ - 8x³+ 7x² + 10

500

(8x² - 5x³ + 8x⁴ -1) - (17 + 4x - 3x³ + 3x²)

8x⁴+ -2x³ + 5x² + 4x -18

Multiplying Polynomials

100

-3(x + 7)

-3x - 21

200

3x ( x² + 12)

3x³ + 36x

300

4x² (2x² + 9x - 1)

8x⁴ + 36x³ - 4x²

400

(x + 3) (x - 15)

x² -12x - 45

500

(2x - 5) (4x + 3)

8x² -14x - 15

Factoring Polynomials

100

Factor

x² + 4x

x(x+4)

200

Factor

4x² + 8x

4x(x+2)

300

Factor

x² + 6x + 8

(x+2)(x+4)

400

Factor

x² - 2x - 15     

(x - 5)(x + 3)

500

Factor

x² - 9

(x - 3)(x + 3)