Polynomial Operations

Adding Polynomials

100

(3p^2-3)+(2p^2-3p^3)

-3p^3+5p^2-3

200

(4+2n^3)+(5n^3+2)

7n^3+6

300

(-4k^4+14+3k^2)+(-3k^4-14k^2-8)

-7k^4-11k^2+6

400

(-x^4+13x^5+6x^3)+(6x^3+5x^5+7x^4)

18x^5+6x^4+12x^3

500

(13n^2+11n-2n^4)+(-13n^2-3n-6n^4)

-8n^4+8n

Subtracting Polynomials

100

(a^3-2a^2)-(3a^2-4a^3)

5a^3-5a^2

200

(4n-3n^3)-(3n^3+4n)

-6n^3

300

(3x^4-3x)-(3x-3x^4)

6x^4-6x

400

(3-6n^5-8n^4)-(-6n^4-3n-8n^5)

2n^5-2n^4+3n+3

500

(8n-3n^4+10n^2)-(3n^2+11n^4-7)

-14n^4+7n^2+8n+7

Multiplying Polynomials

100

6v(2v+3)

12v^2+18v

200

(2n+2)(6n+1)

12n^2+14n+2

300

(6p+8)(5p-8)

30p^2-8p-64

400

(4p-1)^2

16p^2-8p+1

500

(7r^2-6r-6)(2r-4)

14r^3-40r^2+12r+24

Dividing Polynomials

100

(x²+6x+8) / (x+2) 

x + 4

200

Divide:  (5x²-15x+10) / 5

x²-3x+2

300

Divide:  (x²+3x-10) / (x-2)

x+5

400

(8v² + 66v + 70) / (v + 7)

8v+10

500

Divide:  (2x² - 5x - 3) / (x - 3) 

2x + 1

application problems

100

Find the perimeter of a triangle with sides:

3x + 1      2x + 8         x - 5 

6x + 4

200

Find the area of a rectangle with sides 

(x + 4) and (2x + 3)

2x² + 11x + 12

300

Find the volume of a box with dimensions x, x + 2, and x + 4

x³ + 6x² + 8x

400

a box has an area of 2x² + 11x + 12 

one side is (2x + 3), what is the other side

x + 4

500

The perimeter of a triangle is 2x² + 3x + 9. Find the missing side if you know two sides are x² + 4 and x + 5.

x² + 2x