Polynomial Operations Review

Classifying Polynomials

100

Classify this polynomial according to its degree and number of terms:

9x^4-2x

Quartic Binomial

200

Classify this polynomial according to its degree and number of terms:

4x^3

Cubic Monomial

300

Classify this polynomial according to its degree and number of terms:

3x^2+x-7

Quadratic Trinomial

400

Classify this polynomial according to its degree and number of terms:

5x-8

Linear Binomial

500

Classify this polynomial according to its degree and number of terms:

x^5+2x^3-7

Quintic Trinomial

Adding Polynomials

100

Add:

(4x - 5) + (9 - 3x)

x+4

200

Add:  

(7x^2-4x)+(-5x-x^2)

6x^2-9x

300

Add:

(8x^2-4x+2)+(3x^2 +4x-6)

11x^2-4

400

Add:

(-9+3x^3-2x^2)+(4x^3-1+9x^2)

7x^3+7x^2-10

500

Add:

(x^2+8x)+(3x^2-5x)+(2-3x)

4x^2+2

Subtracting Polynomials

100

Subtract:

(3x^2-9)-(x^2+5)

2x^2-14

200

Subtract:

(7x^2-8x+4)-(3-2x+6x^2)

x^2-6x+1

300

Subtract:

(5x^2-4x)-(3x^2-4x+9)

2x^2-9

400

Subtract:

(8-5x+4x^3)-(2x-8+5x^3)

-x^3-7x+16

500

Subtract:

(9-2x)-(3x+5)-(4-7x)

2x

Multiplying Polynomials

100

Multiply:

8x(5x^2-3x+4)

40x^3-24x^2+32x

200

Multiply:

(x+8)(x-3)

x^2+5x-24

300

Multiply:

(3x-7)(2x-5)

6x^2-29x+35

400

Multiply:

(4x+3)^2

16x^2+24x+9

500

Multiply:

(x-7)(2x^2-5x+4)

2x^3-19x^2+39x-28

Mixed Review

100

Simplify:

(4x+7)+(9x-8)

13x-1

200

Simplify:

(4x+7)(9x-8)

36x^2+31x-56

300

Simplify:

(4x+7)-(9x-8)

-5x+15

400

Simplify:

(2x+3)(2x-3)

4x^2-9

500

Simplify:

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

-2x-22