9'1 Adding and Subtracting Polynomials 42408

1
9.1 Adding and Subtracting Polynomials 4/24/08

• A monomial is an expression that is a number, a
  variable, or a product of a number and one or
  more variables.
• Ex. 12 y -5x2y
• The degree of a monomial is the sum of the
  exponents of its variables. For a nonzero
  constant, the degree is 0. Zero has no degree.

2
Degree of a Monomial

• Find the degree of each monomial.
• a.
• Degree 1
• b.
• Degree 5
• c. -4
• Degree 0

3
Polynomials

• A polynomial is a monomial or the sum or
  difference of two or more monomials.
• 3x4 5x2 7x 1
• Degree 4 2 1 0
• Standard form of a polynomial the degrees of
  its monomial terms decrease from left to right.
• The degree of a polynomial in one variable is the
  same as the degree of the monomial with the
  greatest exponent.
• The degree of 3x4 5x2 7x 1 is 4.

4
Names of Polynomials
5
Classifying Polynomials

• Write each polynomial in standard form. Then
  name each polynomial based on its degree and the
  number of its terms.
• a. 5 2x
• -2x 5
• linear binomial
• b. 3x4 4 2x2 5x4
• 3x4 5x4 2x2 4
• 8x4 2x2 4
• fourth degree trinomial

6
Adding Polynomials

• Simplify (4x2 6x 7) (2x2 9x 1).
• Method 1 add vertically
• Method 2 add horizontally group like terms

7
Subtracting Polynomials

• Simplify (2x3 5x2 3x) - (x3 8x2 11).
• Method 1 subtract vertically
• Method 2 subtract horizontally

8
More Practice!!!!

• Textbook p. 459 2 38 even.
• Homework finish textbook problems.