divide x³ -2x² + 3x 18 by x- 3
Answers
Answer:
in mid of 3x and 18 there is +18 or -18
Enter a problem...
Algebra Examples
Popular Problems Algebra Divide Using Long Polynomial Division (x^2+3x-18)÷(x-3)
(
x
2
+
3
x
−
18
)
÷
(
x
−
3
)
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of
0
.
x
-
3
x
2
+
3
x
-
18
Divide the highest order term in the dividend
x
2
by the highest order term in divisor
x
.
x
x
-
3
x
2
+
3
x
-
18
Multiply the new quotient term by the divisor.
x
x
-
3
x
2
+
3
x
-
18
+
x
2
-
3
x
The expression needs to be subtracted from the dividend, so change all the signs in
x
2
−
3
x
x
x
-
3
x
2
+
3
x
-
18
-
x
2
+
3
x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x
x
-
3
x
2
+
3
x
-
18
-
x
2
+
3
x
+
6
x
Pull the next terms from the original dividend down into the current dividend.
x
x
-
3
x
2
+
3
x
-
18
-
x
2
+
3
x
+
6
x
-
18
Divide the highest order term in the dividend
6
x
by the highest order term in divisor
x
.
x
+
6
x
-
3
x
2
+
3
x
-
18
-
x
2
+
3
x
+
6
x
-
18
Multiply the new quotient term by the divisor.
x
+
6
x
-
3
x
2
+
3
x
-
18
-
x
2
+
3
x
+
6
x
-
18
+
6
x
-
18
The expression needs to be subtracted from the dividend, so change all the signs in
6
x
−
18
x
+
6
x
-
3
x
2
+
3
x
-
18
-
x
2
+
3
x
+
6
x
-
18
-
6
x
+
18
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x
+
6
x
-
3
x
2
+
3
x
-
18
-
x
2
+
3
x
+
6
x
-
18
-
6
x
+
18
0
Since the remander is
0
, the final answer is the quotient.
x
+
6