1. 7.1 – Adding & Subtracting Polynomials
Happy Valentine’s Day
7.1 – Adding & Subtracting Polynomials

2. Monomial – is a number or a variable, or the product of both.
Ex. 8 -2x 3x2y 1x2 2
Degree of a monomial – the sum of the exponents of the variables in the monomial.
Ex degree
-2x 1 degree
3x2y 3 degree
1x degree

3. Try It Out!!! State the degree of the monomial.
1) -5x4 5) 4p
2) 1b3 6) -10 2
3) ) -3a5
4) 6x3
1) 4th degree
2) 3rd degree
3) 0 degree
4) 3rd degree
5) 1st degree
6) 0 degree
7) 5th degree

4. Identifying Polynomials Polynomial – a monomial or a sum of monomials
Identifying Polynomials Polynomial – a monomial or a sum of monomials Ex. 4x3 x x2-4x+6 Degree of a Polynomial – the degree of the term with the largest exponent.
Polynomial 6
3x+1
x2-x-5
4x3-8x
Degree 1 2 3
Identified by Degree
Constant
Linear
Quadratic
Cubic
Identified by Number Of
Terms
Monomial
Binomial
Trinomial

5. Adding Polynomials Process: Combine like
terms.
a. (5x3-2x+x2+7) + (3x2+7-4x) 5x3 + x2 - 2x + 7 3x2 - 4x + 7 5x3+4x2-6x+14
b. (x2+3x+2)+(2x2-4x+2)
3x2-x+4
c. (8x2-2x+4)+(4x2-1-3x3)
8x2-2x+4
-3x3 +4x
-3x3+12x2-2x+3

6. Subtracting Polynomials
Process: Distribute the negative sign & then combine like terms. Ex. (-2x3+x2-4x+8) - (-2x3+3x-4) -2x3+x2-4x+8+2x3-3x+4 x2-7x+12