Operations with Polynomials

Adding Polynomials

100

(9x+5)+(5x+7)

14x+12

200

(2p^2+6p+3)+(8p^2-3p)

10p^2+3p+3

300

(9s^4+8)+(s^4+3s+1)

10s^4+3s+9

400

(9b+2)+(6b+3)

15b+5

500

What do like terms have?

The same variables (letters) raised to the same powers (exponents)

Subtracting Polynomials

100

(4x+3)-(3x-1)

x+4

200

(7s^2+7s+5)-(3s^2+s)

4s^2+6s+5

300

(9a^5+9a+3)-(4a^2+a+1)

9a^5-4a^2+8a+2

400

(4q+7)-(3q+9)

q-2

500

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

4x^3+x^2+3

Multiplying Monomials

100

8b^8*10b^7

80b^15

200

(5t^9)(5t^6)

25t^15

300

4r^5*8r

32r^6

400

9k*7k

63k^2

500

(4x^24)(10x^68)

40x^92

Multiplying Binomials

100

What do the letters in FOIL stand for?

First, Outer, Inner, Last

200

(4x+2)(3x+1)

12x^2+10x+2

300

(3u-3)(3u+2)

9u^2-3u-6

400

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

4p^2-9

500

(x+3)(6x-4)

6x^2+14x-12

Multiplying Polynomials

100

2t(-t^2+4t)

-2t^3+8t^2

200

2(2j^2-7)

4j^2-14

300

y(-y^2+8)

-y^3+8y

400

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

3x^5-6x^3+9x

500

5(-c^7+10c^5-2c^3-7)

-5c^7+50c^5-10c^3-35)