(x + 0.5) + 1 \div 2(3x - 1 \div 3) = 1 \div 3(x + 1)
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Algebra Examples
Popular Problems Algebra Divide Using Long Polynomial Division (x^2-3x+1)/(x-4)
(
x
2
−
3
x
+
1
)
(
x
−
4
)
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of
0
.
x
-
4
x
2
-
3
x
+
1
Divide the highest order term in the dividend
x
2
by the highest order term in divisor
x
.
x
x
-
4
x
2
-
3
x
+
1
Multiply the new quotient term by the divisor.
x
x
-
4
x
2
-
3
x
+
1
+
x
2
-
4
x
The expression needs to be subtracted from the dividend, so change all the signs in
x
2
−
4
x
x
x
-
4
x
2
-
3
x
+
1
-
x
2
+
4
x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x
x
-
4
x
2
-
3
x
+
1
-
x
2
+
4
x
+
x
Pull the next terms from the original dividend down into the current dividend.
x
x
-
4
x
2
-
3
x
+
1
-
x
2
+
4
x
+
x
+
1
Divide the highest order term in the dividend
x
by the highest order term in divisor
x
.
x
+
1
x
-
4
x
2
-
3
x
+
1
-
x
2
+
4
x
+
x
+
1
Multiply the new quotient term by the divisor.
x
+
1
x
-
4
x
2
-
3
x
+
1
-
x
2
+
4
x
+
x
+
1
+
x
-
4
The expression needs to be subtracted from the dividend, so change all the signs in
x
−
4
x
+
1
x
-
4
x
2
-
3
x
+
1
-
x
2
+
4
x
+
x
+
1
-
x
+
4
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x
+
1
x
-
4
x
2
-
3
x
+
1
-
x
2
+
4
x
+
x
+
1
-
x
+
4
+
5
The final answer is the quotient plus the remainder over the divisor.