Transcript Lesson 6-2

5-Minute Check on Chapter 2
Transparency 3-1
1. Evaluate 42 - |x - 7| if x = -3
2. Find 4.1  (-0.5)
Simplify each expression
4. (36d – 18) / (-9)
3. 8(-2c + 5) + 9c
5. A bag of lollipops has 10 red, 15 green, and 15 yellow lollipops.
If one is chosen at random, what is the probability that it is
not green?
6.
Standardized Test Practice:
Which of the following is a true
statement
A
8/4 < 4/8
B
-4/8 < -8/4
C
-4/8 > -8/4
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D
-4/8 > 4/8
Lesson 12-5
Dividing Polynomials
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Objectives
• Divide a polynomial by a monomial
• Divide a polynomial by a binomial
Vocabulary
• None new
Key Concept
• xxxx
Example 1
Find
Write as a
rational expression.
Divide each term by 2x.
2x
9
Simplify each term.
1
Answer:
1
Simplify.
Example 2
Find
Write as a rational
expression
Divide each
term by 3y
2y
1
3
Simplify each term
3
Answer:
1
y
Simplify.
Example 3
Find
Write as a rational
expression
Factor the
numerator
1
Divide by the GCF
1
Answer:
Simplify
Example 4
Find
Step 1
Divide the first term of the dividend, x2, by the
first term of the divisor, x.
x
Multiply x and x – 2.
Subtract.
Example 4 cont
Step 2
Divide the first term of the partial dividend,
9x – 15, by the first term of the divisor, x.
x +9
Subtract and bring down 15
Multiply 9 and x – 2.
Subtract.
Answer: The quotient of
is
with a remainder of 3, which can be written as
Example 5
Find
Rename the x2 term by using a coefficient of 0.
Example 5 cont
Multiply x2 and x – 5.
Subtract and bring down 34x.
Multiply 5x and x – 5.
Subtract and bring down 45.
Multiply –9 and x – 5.
Subtract.
Answer:
Summary & Homework
• Summary:
– To divide a polynomial by a monomial, divide each
term of the polynomial by the monomial
– To divide a polynomial by a binomial, use long
division
• Homework:
– pg