x^3-2x^2-4/X-2 long division
Answers
Step-by-step explanation:
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Algebra Examples
Popular Problems Algebra Divide Using Long Polynomial Division (x^3-2x^2-4)/(x-2)
x
3
−
2
x
2
−
4
x
−
2
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of
0
.
x
-
2
x
3
-
2
x
2
+
0
x
-
4
Divide the highest order term in the dividend
x
3
by the highest order term in divisor
x
.
x
2
x
-
2
x
3
-
2
x
2
+
0
x
-
4
Multiply the new quotient term by the divisor.
x
2
x
-
2
x
3
-
2
x
2
+
0
x
-
4
+
x
3
-
2
x
2
The expression needs to be subtracted from the dividend, so change all the signs in
x
3
−
2
x
2
x
2
x
-
2
x
3
-
2
x
2
+
0
x
-
4
-
x
3
+
2
x
2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x
2
x
-
2
x
3
-
2
x
2
+
0
x
-
4
-
x
3
+
2
x
2
0
Pull the next term from the original dividend down into the current dividend.
x
2
x
-
2
x
3
-
2
x
2
+
0
x
-
4
-
x
3
+
2
x
2
0
+
0
x
-
4
The final answer is the quotient plus the remainder over the divisor.
x
2
−
4
x
−
2
Step-by-step explanation:
x - 2) x³ - 2x² - 4 (x² +4x -8
x³ - 2x²
- +.
0. +. 4x² - 4
4x + 8x
- -
0 - 8x + 4
-8x + 8
+. -
0 - 4
R= -4
Q= x² + 4x - 8