dividing polynomials divide polynomials using long division and synthetic division
TRANSCRIPT
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Dividing Polynomials
Divide Polynomials using Long Division and Synthetic Division.
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#1 Divide a polynomial by a monomial.
2
564 3 xx
2
5
2
6
2
4 3
xx
2
532 3 xx
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#2 Divide a polynomial by a monomial.
x
xxx
2
462 23
x
x
x
x
x
x
2
4
2
6
2
2 23
232 xx
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#3 Divide the following numbers.
13
5733
5733134
5253
4
5213
1 Check
13
441
5733
130
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Long Division
1. Divide the first term of the numerator by the first term of the denominator.
2. Distribute your quotient by the entire polynomial in the denominator.
3. Distribute a negative by through your product.
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#4 Divide the following numbers (Long Division)
11
8034
8034117
7733
3
3304
0
04 Remainder
11
4730
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#5 Dividing a polynomial by a polynomial (Long Division)
2
822
x
xx
822 2 xxxx
xx 22 x4 8
4
84 x0
Check
)2)(4( xx
8422 xxx
822 xx
x
x2
)2(xx
x
x4 )2(4 x
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36x
#6 Dividing a polynomial by a polynomial (Long Division)
7
42133
36
x
xx
3x
36 7xx 42
6
426 3 x0
Check
)6)(7( 33 xx
4276 336 xxx
4213 36 xx
)7( 33 xx
)7(6 3x
42137 363 xxx
3
6
x
x
3
36
x
x
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#7 Dividing a polynomial by a polynomial (Long Division)
1
124
x
xx
1001 234 xxxxx
3x
34 xx 3x 2x
2x
23 xx 22x x0
x2 x2
xx 22 2 x2 1
2
12 x22 x3
1
3
x
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#8 Dividing a polynomial by a polynomial (Long Division)
yy
yyy
523
19730152
23
7301915253 232 yyyyyy5
yyy 102515 23 26y y20
2
4106 2 yy11y10
7
253
11102
yy
y