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Degree of Polynomials
Adding or Subtracting Polynomials
Combine like terms
Solve equations w/ combining like terms
Distributive Principle
100
4y + 7
What is a first degree polynomial
100
(3x+5) + (4x+1)
7x + 6
100

-2x + 11 + 6x

4x + 11

100

−104 = 8x

-13

100
4(3x + 4)
12x + 16
200
3x
What is a first degree polynomial
200
(6x-7) + (4x+5)
10x-2
200

Are x2 and x2y like terms? Explain

No, because the first term is only x2 and the other term has a y being multiplied to it.

200

What operation (addition, subtraction, multiplication, or division) is used to solve this equation:

 −17x = −204 ?

Division

200
2(5x + 6)
10x + 12
300
4x2 + 5x + 6
What is a second degree polynomial
300
(5x-7) - (8x-2)
-3x - 5
300

Combine :−9k + 8k 

Is the answer a monomial, binomial, or trinomial? and what is the degree?


-k is a monomial with a degree of 1

300

Solve:    12 = −4(−6x − 3)

Step 1: 12=24x + 12

step 2: 0=24x 

step 3: 0=x

300
6(x+12)
6x+72
400
7
What is a zero degree polynomial
400
(5x-3) + (4x+7) + (2x-6)
11x-2
400

−5n + 3(6 + 7n)

Step 1: -5n + 18 + 21n

Step 2: 21n - 5n + 18

Step 3: 16n + 18  

400

How many solutions does this equation have?

p − 4 = −9 + p

No solutions because the statement is false

400
4(3x-y+5)
12x-4y+20
500
-15
What is a zero degree polynomial
500
(6x-8) - (6x+8)
-16
500

5(−2n + 4) + 2(n + 3)

Step 1: -10n + 20n + 2n + 6

Step 2: 20n + 2n - 10n + 6

Step 3: 12n + 6

500

−5(1 − 5x) + 5(−8x − 2) = −4x − 8x

-5

500
-3(2x-6)
-6x+18