Lesson 2.5 & 2.6: Solving Inequalities
In this section, you will learn the meaning of a polynomial inequality and examine the method for solving
polynomial inequalities using both technology and algebraically.
I. Solve by graphing:
Example 1: Solve x2 1 <
2.4 Families of Polynomial Functions
In this section, you will determine equations for a family of polynomial functions from a set of zeros.
Given additional information, you will determine an equation for a particular member of the family.
Polynomial fun
WORKSHEET 2.1 & 2.2
1.10.1 Remainder Theorem and Factor Theorem
Remainder Theorem:
When a polynomial f (x) is divided by x a , the remainder is f (a)
1. Find the remainder when 2 x 3 x 2 17 x 30 is divided by each of the following:
3
(a) x 1
(b) x 2
(c)
x
WORKSHEET 2.1
1.9.1 Dividing Polynomials
Dividing a polynomial by another polynomial is similar to performing a division of
numbers using long division. For example, divide the polynomial x 3 13x 2 x 46
39
by x 9
Solution:
x2
1)
x 9 x 3 13 x 2 x 46
39
fir
MHF4U1-ASSIGNMENT CHAPTER 1A
NAME:_
True/False
Indicate whether the statement is true or false.
_
1. Even functions are symmetric about the x-axis.
_
2. Odd-degree polynomials have at least one x-intercept.
_
3. Even-degree polynomial functions always beg