divide using synthetic division method and write quotient and remainder of x³-64,x-4
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Step-by-step explanation:
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Algebra Examples
Popular Problems Algebra Divide Using Synthetic Division (x^3-64)/(x-4)
x
3
−
64
x
−
4
Place the numbers representing the divisor and the dividend into a division-like configuration.
4
1
0
0
−
64
The first number in the dividend
(
1
)
is put into the first position of the result area (below the horizontal line).
4
1
0
0
−
64
1
Multiply the newest entry in the result
(
1
)
by the divisor
(
4
)
and place the result of
(
4
)
under the next term in the dividend
(
0
)
.
4
1
0
0
−
64
4
1
Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.
4
1
0
0
−
64
4
1
4
Multiply the newest entry in the result
(
4
)
by the divisor
(
4
)
and place the result of
(
16
)
under the next term in the dividend
(
0
)
.
4
1
0
0
−
64
4
16
1
4
Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.
4
1
0
0
−
64
4
16
1
4
16
Multiply the newest entry in the result
(
16
)
by the divisor
(
4
)
and place the result of
(
64
)
under the next term in the dividend
(
−
64
)
.
4
1
0
0
−
64
4
16
64
1
4
16
Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.
4
1
0
0
−
64
4
16
64
1
4
16
0
All numbers except the last become the coefficients of the quotient polynomial. The last value in the result line is the remainder.
1
x
2
+
4
x
+
16
Simplify the quotient polynomial.
x
2
+
4
x
+
16