Section 6.6 Dividing Polynomials Dividing a Monomial by a Monomial Dividing a Polynomial by a...
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Transcript of Section 6.6 Dividing Polynomials Dividing a Monomial by a Monomial Dividing a Polynomial by a...
6.6 1
Section 6.6 Dividing Polynomials
Dividing a Monomial by a Monomial Dividing a Polynomial by a Monomial Dividing a Polynomial by a Polynomial
Long Division Technique Handling Missing Terms
6.6 2
Negative Exponent Rule Quotient Rule for Exponents
261328
2
38
yxyxyx
yx
2
24242271153
75
2113
a
cbcbacba
ba
cba
6.6 3
Dividing a Monomial by a Monomial Remove matching integer factors in the coefficients
2
525
3
6
3
6
5
3
5
3
)7)(5)(2(
)7)(3)(2(
70
42
y
xyx
xy
yx
xy
yx
6.6 4
Dividing a Polynomial by a Monomial
Recall the rule for Using it in reverse, allows adding fractions: a division to be split up:
d
ba
d
b
d
a
d
b
d
a
d
ba
233
6
3
9
3
69 22
xx
x
x
x
x
xx
4
12
44
4
4
8
4
48 22
22
22
22
24
22
43
22
222443
aabba
ba
ba
ba
ba
ba
ba
bababa
6.6 5
Dividing a Polynomial by a Polynomial
Use the long-division process
139
0
13
13
39
09
927
1002713
2
2
2
23
23
aa
a
a
aa
aa
aa
aaaa
127?)139)(13(: 32 aaaaCheck
6.6 6
Dividing with a Remainder
614
124256
32
2
2
4
2124104
31073
xx
xxxxxxx
107?2)4)(3(: 2 xxxxCheck
6.6 7
Practice – Monomial Division
xx
x
xx
73
4
56
3
211518
6.6 8
Practice – Binomial Division
32
15725 2
x
xxx
6.6 9
Practice – Binomial Division w/ Rem
32
2
2
853
xx
xxx
6.6 10
Practice – Binomial Division w/ Rem
14
232
322
29
591
591
aaa
aaa
aaa
6.6 11
What Next? 6.8 Solving Formulas and Variation