A19­1AddSubtrPolynoms.notebook
April 06, 2015
Algebra 1
Ch.9 Notes Page 48
P48 9­1 Adding and Subtracting Polynomials
Sep 2­8:31 AM
Polynomials
3x4 + 5x2 ­ 7x + 1
Standard Form = Highest Exponent First
(followed by next lowest, etc...)
Degree = Highest Exponent
Number of Terms = Monomial, BiNomial, TriNomial, Polynomial
Mar 4­8:09 AM
1
A19­1AddSubtrPolynoms.notebook
April 06, 2015
Examples
Polynomial
Degree
Name Using Degree
Number of Terms Name Using Number of Terms 7x + 4 1 Linear 2 Binomial 3x2 + 2x + 1 2 Quadratic 3 Trinomial 4x3 3 Cubic 1 Monomial 9x4 + 11x 4 Fourth Degree 2 Binomial 5
0 Constant 1 Monomial Apr 2­8:12 AM
Classifying Polynomials
Simplify/Combine Like Terms
Write in Standard Form
Highest Exponent First (next lowest, etc...)
Tell the Degree and the Number of Terms
3x4 ­ 4 + 2x2 + 5x4
6x2 + 7 ­ 9x4
Apr 2­8:12 AM
2
A19­1AddSubtrPolynoms.notebook
April 06, 2015
Adding Polynomials
(7x3 + 2x2 + 5x) + (2x3 + 6x2 + 9)
(2x3 + 5x2 ­ 7x) + (4x3 ­ 8x2 + 4)
Apr 2­8:12 AM
Subtracting Polynomials
(2x3 + 5x2 ­ 3x) ­ (x3 ­ 8x2 + 11)
(x3 + 6x2 ­ x) ­ (9x3 ­ 7x2 + 3x)
(30x3 ­ 29x2 ­ 3x) ­ (2x3 + x2)
Apr 2­8:13 AM
3
A19­1AddSubtrPolynoms.notebook
April 06, 2015
HW #54
9­1 P497 #1­3,9­11,18­20,24­27,31­34,40,49,56­60
Please put your name and class period at the top of the homework.
Also include the homework number.
Nov 17­7:15 AM
4