Vocabulary
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Evaluating Polynomials
100
How many terms are in a trinomial?
Three
100
(x+5)+(3x+9)
4x + 14
100
(7x+4)-(5x+8)
2x-4
100
(3x+1)(2x+3)
6x2+12x+3
100

3x3-2x2 + 12  for x = 4

172

200

When adding like terms what do you do?

Add the coefficients and keep the base with the exponent. 

200
(3x2+4x)+(2x2-3x)
5x2+x
200
(6x2+4)-(3x2+5)
3x2-1
200
(2x-5)(3x+2)
6x2-4x-10
200

7y5 - 4 for y = -1

-11

300

How many terms are in this polynomial? 4y5+6xy-3x2

Three

300
(-4x2+2x-3)+(5x2-4x+8)
x2-2x+5
300

(2x-4)-(4x-2)

-2x-2

300
(2x-4)(3x2-6x+1)
6x3-24x2+26x-4
300

f(x) = 3x4 - 4x+5x  f(2)= 

26

400

When you multiply terms that have exponents what do you do?

Only if the bases are the same then: Multiply coefficients and add powers 

400

(8x2-4x+3)+(7x2+2x-11)

15x2-2x-8

400
(6x2-5x+8)-(4x2-7x+9)
2x2+2x-1
400
(2x2-4x+6)(x2+5x-2)
2x4+6x3-18x2+38x-12
400

Daily Double!!!

f(t) = 1/2t6 -100t4 + 340   f(0) = 

340

500

Like terms need to have...(two things!!)

1. Same variables 2. Same exponents

500

(5x3+4x2-2x+2)+(2x3-2x2+x+5)

7x3+2x2-x+7

500

(6x3+4x2-4x+5)-(2x3-3x2+5x-5)

4x3+7x2-9x+10

500
Ms. Waters wants to know how many desks can fit in her classroom next year. The length of her classroom is x+5 ft and the width of her classroom is x-4 ft. What is the area of her classroom? Area = lw
x2+x-20 square ft
500

Explain the difference between evaluating an expression and solving an equation. 

Evaluating an expression is where you are given a value for the unknown and plug it into the expression and simplify

Solving an equation is where if there is only one unknown variable you use inverse operations to solve for the the value of the variable.