Polynominals Examples And Worksheets (Lessons 7-5. 7-7, 7-8, 7-9. 12-6) Packet 8 Page 11
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Name
Date
Period
Lesson 12-G Dividing Polynomials
(Polvnomials
-
o.101
Obiective:
TSW
will
divide a polvnomial bv
a
monomial or binomial.
SPI:
3102.3.2: Operate with polynomials and simplify results.
3102.3.6:
Find the
quotient of
a
polynomial and
a
monomial.
Math
Humor: What do math teachers train their parrots to say?
WhV
lgafn
this?
Division of potynomials can
be used
to compare the energy
produced by solar panels.
12x2
+9x
To divide a polynomial by a monomial, first
write the division as a rational expression.
Divide
(12i
+ 9x) + 3x.
To divide a polynomial by a binomial, try
to factor and divide out common factors.
x2+6x+5
utvtoe
x+1
x2+6x+5
x +1
(x+1)(x+5)
Factor the numerator.
Divide out common
factors.
Simplify.
x+1
3x
12x2
9x
3x
3x
Rewrite as a rational
expression.
Divide each term by
3x.
Divide out common
factors.
Simplity.
g,rf
1x
+
s1
x+5
4x+3
You may find that
a rational expression does not divide evenly.
Divide
(5,f
+
10x+
3) + 5x.
5x2
+10x+3
y/'r/' /'/'
-3T";y'n
5x
5x2
10x
3
5x 5x
5x
Divide each term of the polynomial
1.
(12m3 + 4m2) + 4m
12m3
4m2.
+._
L]L]
Rewrite as a rational expression.
Divide each term by
5x.
Answer: x+Z+
L
5x
by
the monomial.
2. (40f
+
24f -
20f)
+
qf
3.
(1Sxs
+
15x2
-
10x) +
5x2
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