2x7 + 3x6 - 6x5 + 6x4 - 2x3 - 8x2 + 6x - 1 |
x2 - 1 |
Setup long division format
Step 11a) Divide 2x7 ÷ x2
2x7 ÷ x2 = 2x(7 - 2) = 2x5
1b) Multiply 1a by the divisor
2x5(x2 - 1) = 2x7 - 2x5
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1c) Subtract 2x7 - 2x5
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2x5 | |||||||||||||||||
x2 | - | 1 | 2x7 | + | 3x6 | - | 6x5 | + | 6x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 | 2x7 | - | 2x5 | 3x6 | - | 4x5 | + | 6x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 |
Step 2
2a) Divide 3x6 ÷ x2
3x6 ÷ x2 = 3x(6 - 2) = 3x4
2b) Multiply 2a by the divisor
3x4(x2 - 1) = 3x6 - 3x4
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2c) Subtract 3x6 - 3x4
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2x5 | + | 3x4 | |||||||||||||||
x2 | - | 1 | 2x7 | + | 3x6 | - | 6x5 | + | 6x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 | 2x7 | - | 2x5 | 3x6 | - | 4x5 | + | 6x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 | 3x6 | - | 3x4 | -4x5 | + | 9x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 |
Step 3
3a) Divide -4x5 ÷ x2
-4x5 ÷ x2 = -4x(5 - 2) = -4x3
3b) Multiply 3a by the divisor
-4x3(x2 - 1) = -4x5 + 4x3
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3c) Subtract -4x5 + 4x3
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2x5 | + | 3x4 | - | 4x3 | |||||||||||||
x2 | - | 1 | 2x7 | + | 3x6 | - | 6x5 | + | 6x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 | 2x7 | - | 2x5 | 3x6 | - | 4x5 | + | 6x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 | 3x6 | - | 3x4 | -4x5 | + | 9x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 | -4x5 | + | 4x3 | 9x4 | - | 6x3 | - | 8x2 | + | 6x | - | 1 |
Step 4
4a) Divide 9x4 ÷ x2
9x4 ÷ x2 = 9x(4 - 2) = 9x2
4b) Multiply 4a by the divisor
9x2(x2 - 1) = 9x4 - 9x2
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4c) Subtract 9x4 - 9x2
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2x5 | + | 3x4 | - | 4x3 | + | 9x2 | |||||||||||
x2 | - | 1 | 2x7 | + | 3x6 | - | 6x5 | + | 6x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 | 2x7 | - | 2x5 | 3x6 | - | 4x5 | + | 6x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 | 3x6 | - | 3x4 | -4x5 | + | 9x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 | -4x5 | + | 4x3 | 9x4 | - | 6x3 | - | 8x2 | + | 6x | - | 1 | 9x4 | - | 9x2 | -6x3 | + | x2 | + | 6x | - | 1 |
Step 5
5a) Divide -6x3 ÷ x2
-6x3 ÷ x2 = -6x(3 - 2) = -6x
5b) Multiply 5a by the divisor
-6x(x2 - 1) = -6x3 + 6x
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5c) Subtract -6x3 + 6x
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2x5 | + | 3x4 | - | 4x3 | + | 9x2 | - | 6x | |||||||||
x2 | - | 1 | 2x7 | + | 3x6 | - | 6x5 | + | 6x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 | 2x7 | - | 2x5 | 3x6 | - | 4x5 | + | 6x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 | 3x6 | - | 3x4 | -4x5 | + | 9x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 | -4x5 | + | 4x3 | 9x4 | - | 6x3 | - | 8x2 | + | 6x | - | 1 | 9x4 | - | 9x2 | -6x3 | + | x2 | + | 6x | - | 1 | -6x3 | + | 6x | x2 | - | 1 |
Step 6
6a) Divide x2 ÷ x2
x2 ÷ x2 = 1x(2 - 2) = 1
6b) Multiply 6a by the divisor
1(x2 - 1) = x2 - 1
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6c) Subtract x2 - 1
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2x5 | + | 3x4 | - | 4x3 | + | 9x2 | - | 6x | + | 1 | |||||||
x2 | - | 1 | 2x7 | + | 3x6 | - | 6x5 | + | 6x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 | 2x7 | - | 2x5 | 3x6 | - | 4x5 | + | 6x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 | 3x6 | - | 3x4 | -4x5 | + | 9x4 | - | 2x3 | - | 8x2 | + | 6x | - | 1 | -4x5 | + | 4x3 | 9x4 | - | 6x3 | - | 8x2 | + | 6x | - | 1 | 9x4 | - | 9x2 | -6x3 | + | x2 | + | 6x | - | 1 | -6x3 | + | 6x | x2 | - | 1 | x2 | - | 1 |
We have no remainder:
2x5 + 3x4 - 4x3 + 9x2 - 6x + 1
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What is the Answer?
2x5 + 3x4 - 4x3 + 9x2 - 6x + 1
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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