Polynomial Long Division: 5x^3-47x+8/x+3
Eevaluate the expression below:| 5x3 - 47x + 8 |
| x + 3 |
Setup long division format
Fill in 0's for thenumerator powers: → x2Step 1
1a) Divide 5x3 ÷ x
5x3 ÷ x = 5x(3 - 1) = 5x2
1b) Multiply 1a by the divisor
5x2(x + 3) = 5x3 + 15x2
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1c) Subtract 5x3 + 15x2
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| 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
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2c) Subtract -15x2 - 45x
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| 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
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3c) Subtract -2x - 6
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| 5x2 | - | 15x | - | 2 | |||||
| x | + | 3 | 5x3 | + | 0x2 | - | 47x | + | 8 | 5x3 | + | 15x2 | -15x2 | - | 47x | + | 8 | -15x2 | - | 45x | -2x | + | 8 | -2x | - | 6 | 14 |
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 divisorWe 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 degreeTags:
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