Polynomial Long Division: 9x^3+4x^2-6x+1/x^2+6 Eevaluate the expression below:

9x3 + 4x2 - 6x + 1

x2 + 6

Setup long division format

Step 1
 1a)  Divide 9x3 ÷ x2
9x3 ÷ x2 = 9x(3 - 2) = 9x

 1b) Multiply 1a by the divisor
9x(x2 + 6) = 9x3 + 54x
Click here to see the Math for this Multiplication.

 1c)  Subtract 9x3 + 54x
Click here to see the Math.

9x

x2

+

6

9x3

+

4x2

-

6x

+

1

9x3

+

54x

4x2

-

60x

+

1

Step 2
 2a)  Divide 4x2 ÷ x2
4x2 ÷ x2 = 4x(2 - 2) = 4

 2b) Multiply 2a by the divisor
4(x2 + 6) = 4x2 + 24
Click here to see the Math for this Multiplication.

 2c)  Subtract 4x2 + 24
Click here to see the Math.

9x

+

4

x2

+

6

9x3

+

4x2

-

6x

+

1

9x3

+

54x

4x2

-

60x

+

1

4x2

+

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

x2 + 6

What is the Answer?

How does the Polynomial Long Division Calculator work?

Free Polynomial Long Division Calculator - Polynomial Long Division Calculator
This calculator has 2 inputs.

What 3 formulas are used for the Polynomial Long Division Calculator?

Divide the first term of the dividend by the first term of the divisor
We multiply that part of the quotient by the divisor
Subtract Step 2 from our main polynomial.

For more math formulas, check out our Formula Dossier

What 2 concepts are covered in the Polynomial Long Division Calculator?

divisionseparate a number into partspolynomial long divisionan algorithm for dividing a polynomial by another polynomial of the same or lower degree

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