Final answer:
The Polynomial Division Calculator can be used to find the quotient with a letter as the remainder in polynomial division.
Step-by-step explanation:
The Quotient with a letter as the remainder can be calculated using the Polynomial Division Calculator. It is used to divide a polynomial by another polynomial and compute the quotient and remainder.
Here is an example:
Divide x^3+2x^2-5x+3 by x-2
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- Arrange the terms in descending order of their exponents: x^3+2x^2-5x+3
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- Divide the first term of the dividend by the first term of the divisor: x^3/x = x^2
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- Multiply the divisor by the result obtained in step 2: (x-2)(x^2)=x^3-2x^2
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- Subtract the result obtained in step 3 from the dividend: x^3+2x^2-5x+3-(x^3-2x^2) = 4x^2-5x+3
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- Repeat steps 2-4 with the remainder obtained in the previous step until no further division is possible.
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- The final quotient is x^2+4x-2 and the remainder is 1