Polynomial Functions and Adding and Subtracting Polynomials - PowerPoint PPT Presentation

1 / 9
About This Presentation
Title:

Polynomial Functions and Adding and Subtracting Polynomials

Description:

Monomial is a polynomial with one term. Binomial. is a polynomial with two terms. Trinomial. is a polynomial with three terms. Types of Polynomials – PowerPoint PPT presentation

Number of Views:287
Avg rating:3.0/5.0
Slides: 10
Provided by: pbwo947
Category:

less

Transcript and Presenter's Notes

Title: Polynomial Functions and Adding and Subtracting Polynomials


1
5.2
  • Polynomial Functions and Adding and Subtracting
    Polynomials

2
Polynomial Vocabulary
  • Term a number or a product of a number and
    variables raised to powers
  • Coefficient numerical factor of a term
  • Constant term which is only a number
  • Polynomial is a sum of terms involving variables
    raised to a whole number exponent, with no
    variables appearing in any denominator.

3
Polynomial Vocabulary
  • In the polynomial 7x5 x2y2 4xy 7,
  • there are ____terms
  • The coefficient of term 7x5 is ____,
  • of term x2y2 is ____,
  • of term 4xy is ____ and
  • of term 7 is ____.
  • _____ is a constant term.

4
Types of Polynomials
  • Monomial is a polynomial with one term.
  • Binomial is a polynomial with two terms.
  • Trinomial is a polynomial with three terms.

5
Degrees
  • Degree of a term
  • To find the degree, take the _______ of the
    exponents on the variables contained in the term.
  • Degree of a constant is _____.
  • Degree of the term 5a4b3c is ____ (remember that
    c can be written as c1).
  • Degree of a polynomial
  • To find the degree, take the largest degree of
    any term of the polynomial.
  • Degree of 9x3 4x2 7 is 3.

6
Example
  • If P(x) 3x2 2x 5, find the following,
  • a. P(1)
  • b. P(2)

7
Combining Like Terms
  • ______________are terms that contain exactly the
    same variables raised to exactly the same powers.

Warning!
Only like terms can be combined through addition
and subtraction.
Example
  • Combine like terms to simplify.
  • x2y xy y 10x2y 2y xy

8
Adding Polynomials
  • Adding Polynomials
  • To add polynomials, combine all the like terms.

Example
Add. (3x 8) (4x2 3x 3)
9
Subtracting Polynomials
  • Subtracting Polynomials
  • To subtract two polynomials, change the signs of
    the terms of the polynomial being subtracted and
    then add.

Example
4 ( y 4)
a) Subtract
b) Simplify ( a2 1) (a2 3) (5a2 6a
7)
Write a Comment
User Comments (0)
About PowerShow.com