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Title: Algebra _ Synthetic Division
Description: Algebra _ Synthetic Division Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant. Step 1: Set up the synthetic division. An easy way to do this is to first set it up as if you are doing long division and then set up your synthetic division.
Description: Algebra _ Synthetic Division Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant. Step 1: Set up the synthetic division. An easy way to do this is to first set it up as if you are doing long division and then set up your synthetic division.
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Algebra
Synthetic Division
1
...
Solution:
2
1
0
2
2
–1
0
4
2
1
0
1
2
Remainder = 2
Quotient is x2 – 1
2
...
Solution:
½
4
0
3
2
0
1/2
1
1/4
7
5/8
4
1
1/2
5/4
51/8
= Remainder
x2
x
5
1
1
5
(4x3 – x2
x
) = 2x3
2
4
8
2
2
4
51
Remainder =
8
Quotient is
3
...
Solution:
3
3
0
2
9
7
33
5
120
3
11
40
125
The quotient is 3x2 – 11x + 40
3x2 – 11x + a
Given
a = 40
4
...
Find also the other factors
...
Quotient is 1
3
( 9z2 – 57z + 90)
= 3z 2 – 19z + 30
= 3z 2 – 10z – 9z + 30
= z (3z – 10) – 3 (3z –10)
= (3z – 10) (z – 3)
The other factors are (3z – 10) and (z – 3)
5
...
Solution:
4
1
0
10
4
35
24
50
44
29
24
1
6
11
6
5
The quotient is x3 + 6x2 + 11x + 6
Given x3 + ax2 + bx + 6
a = 6, b = 11
6
...
Solution:
½
2
0
1
1
14
0
19
7
6
6
2
0
14
12
0
The quotient is 1 ( 2y3 + 0y2 14y –12 )
2
= y3 + 0y2 – 7y – 6
Given
y3 + py2 + qy – 6
p = 0,
q = 7
7
...
Solution:
2
2
0
7
4
10
22
24
24
2
11
12
0
Since the remainder is zero ( y + 2) is a factor
Title: Algebra _ Synthetic Division
Description: Algebra _ Synthetic Division Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant. Step 1: Set up the synthetic division. An easy way to do this is to first set it up as if you are doing long division and then set up your synthetic division.
Description: Algebra _ Synthetic Division Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant. Step 1: Set up the synthetic division. An easy way to do this is to first set it up as if you are doing long division and then set up your synthetic division.