Like Terms
Combine like terms:
3x + 7 - x
2x + 7
Add the polynomials:
(2x + 2) + (3x - 1)
5x - 1
Subtract the polynomials and write the answer in standard form:
(2x + 15) - (x + 4)
x + 11
Name for when degree = 1
Linear
Name for a 1 term polynomial
Monomial
Combine like terms:
4x2 - 3x + x2 - 5
5x2 - 3x - 5
Add the polynomials:
(x2 + 4x + 4) + (x2 + 4x + 4)
2x2 +8x + 8
Subtract the polynomials and write the answer in standard form:
(3x2 + 4x - 5) - (4x2 - 5 + 3x)
-x2 + x
Name for when degree =0
Name for a 2 term polynomial
Binomial
Combine like terms - leave answer in Standard Form:
-4x - 5x + 6x3 + 8
6x3 - 9x + 8
Add the polynomials:
(3x4 + 6x2 + 14x - 5) + (3x3 + 3x2 - 10)
3x4 + 3x3 + 9x2 + 14x - 15
Subtract the polynomials and write the answer in standard form:
(5x2 + 3x + 7) - (x3 + 2x2 + 1)
-x3 + 3x2 + 3x + 6
Name for when degree = 3
Name for a 3 term polynomial
Trinomial
Combine like terms and leave in Standard Form:
18xyz + -17xyz - 16x2
-16x2 + xyz
Add the polynomials and write answer in standard form:
(15x + 6x3 - 2x2 + x7) + (3x7 - 5x + 4x2 - 6x3)
4x7 + 2x2 + 10x
Subtract the polynomials and write the answer in standard form:
(-7x2 - 4x - 7) - (7x2 - 4x - 11)
-14x2 + 4
Name for when degree =4
Name for a 4 term polynomial
Quadrinomial OR Polynomial
Combine like terms and leave in Standard Form:
-x3 - 3x2 + 4x3 - 3x2 + 5x5
5x5 + 3x3 - 6x2
Add the polynomials and write the answer in standard form:
(-3x3 + x + 3x3 + x) + (2x2 - 2x + 15)
2x2 + 15
Subtract the polynomials and write the answer in standard form:
(3x - 3x2 - 3x3 - 3x4) - (3x - 3x2 - 3x3 - 3x4)
0
Name for when degree = 5
Name for a 5 term polynomial
Quintinomial / Polynomial