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Adding and Subtracting Polynomials

2/10/2017

A real number, a variable, or a product of a real number and one or more variables with whole-number exponents. examples: 18,z, -4x2 25xy3 a/3

A real number, a variable, or a product of a real number and one or more variables with whole-number exponents. examples: 18,z, -4x2 25xy3 a/3

a monomial or a sum of monomials. example:3x4 + 5x2 - 7x +1

A real number, a variable, or a product of a real number and one or more variables with whole-number exponents. examples: 18,z, -4x2 25xy3 a/3

a monomial or a sum of monomials. example:3x4 + 5x2 - 7x +1

sum

A real number, a variable, or a product of a real number and one or more variables with whole-number exponents. examples: 18,z, -4x2 25xy3 a/3

a monomial or a sum of monomials. example:3x4 + 5x2 - 7x +1

sum

The degrees of the monomial terms decrease fromleft to right.

Classifying Polynomials

Polynomial Degree Name Using Degree

Number of Terms

Name Using Number of Terms

6

5x+9

4x2+7x+3

2x3

8x4-2x3+3x

Standard Form of a Polynomial

3x4 + 5x2 - 7x +1

Degree of each monomial → 4 2 1 0

The standard form of a polynomial means that the degree of its monomial terms decrease from left to right.

(x3 - 3x2 + 5x) - (7x3 + 5x2 -12)

(x3 - 3x2 + 5x) - (7x3 + 5x2 -12)

Practice

Homework1) Adding and Subtracting Polynomials Worksheet2) Test Corrections are due on Monday3) Your last day to turn in the exponents puzzle for any credit is Monday.

Otherwise it’s a permanent 0 in the gradebook4) Don’t forget about the Hidden Figures extra credit opportunity