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Eevaluate the expression below:
9x
3
+ 4x
2
- 6x + 1
x
2
+ 6
Setup long division format
Step 1
1a) Divide
9x
3
÷
x
2
9x
3
÷
x
2
= 9x
(3 - 2)
=
9x
1b) Multiply 1a by the
divisor
9x
(
x
2
+ 6
) =
9x
3
+ 54x
Click here to see the Math for this Multiplication.
1c) Subtract
9x
3
+ 54x
Click here to see the Math.
9x
x
2
+
6
9x
3
+
4x
2
-
6x
+
1
9x
3
+
54x
4x
2
-
60x
+
1
Step 2
2a) Divide
4x
2
÷
x
2
4x
2
÷
x
2
= 4x
(2 - 2)
=
4
2b) Multiply 2a by the
divisor
4
(
x
2
+ 6
) =
4x
2
+ 24
Click here to see the Math for this Multiplication.
2c) Subtract
4x
2
+ 24
Click here to see the Math.
9x
+
4
x
2
+
6
9x
3
+
4x
2
-
6x
+
1
9x
3
+
54x
4x
2
-
60x
+
1
4x
2
+
24
-60x
-
23
We have a remainder leftover.
Take our answer piece and remainder piece below
Answer =
9x + 4
Remainder piece = Leftover answer ÷ denominator
-60x - 23
x
2
+ 6