Eevaluate the expression below:

5x3 - 47x + 8

x + 3

Setup long division format

Fill in 0's for thenumerator powers: → x²

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Step 1
 1a)  Divide 5x³ ÷ x
5x³ ÷ x = 5x^{(3 - 1)} = 5x²

 1b) Multiply 1a by the divisor
5x²(x + 3) = 5x³ + 15x²
Click here to see the Math for this Multiplication.

 1c)  Subtract 5x³ + 15x²
Click here to see the Math.

5x2

x

+

3

5x3

+

0x2

-

47x

+

8

5x3

+

15x2

-15x2

-

47x

+

8

---

Step 2
 2a)  Divide -15x² ÷ x
-15x² ÷ x = -15x^{(2 - 1)} = -15x

 2b) Multiply 2a by the divisor
-15x(x + 3) = -15x² - 45x
Click here to see the Math for this Multiplication.

 2c)  Subtract -15x² - 45x
Click here to see the Math.

5x2

-

15x

x

+

3

5x3

+

0x2

-

47x

+

8

5x3

+

15x2

-15x2

-

47x

+

8

-15x2

-

45x

-2x

+

8

---

Step 3
 3a)  Divide -2x ÷ x
-2x ÷ x = -2x^{(1 - 1)} = -2

 3b) Multiply 3a by the divisor
-2(x + 3) = -2x - 6
Click here to see the Math for this Multiplication.

 3c)  Subtract -2x - 6
Click here to see the Math.

5x2

-

15x

-

2

x

+

3

5x3

+

0x2

-

47x

+

8

5x3

+

15x2

-15x2

-

47x

+

8

-15x2

-

45x

-2x

+

8

-2x

-

6

14

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We have a remainder leftover.
Take our answer piece and remainder piece below
Answer = 5x² - 15x - 2
Remainder piece = Leftover answer ÷ denominator

What is the Answer?

5x² - 15x - 2

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?

division

separate a number into parts

polynomial long division

an algorithm for dividing a polynomial by another polynomial of the same or lower degree

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