SOLUTION: Long division of polynomials? Help! Can you walk me through how to divide polynomials using long division? How do I know when I am done with the problem? I keep getting the wr

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Question 796828: Long division of polynomials? Help!
Can you walk me through how to divide polynomials using long division?
How do I know when I am done with the problem? I keep getting the wrong answer
How to divide x^2+2x-1 divided into 3x^4 + x^3-2x+6

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


One mistake you are probably making is not putting in a placeholder for the missing x-squared term in your dividend polynomial. The dividend polynomial should be

You know you are done when you have no more terms to bring down from the denominator. This is like integer division where you get a quotient and a remainder. The remainder is always a polynomial of degree one less than the divisor. Since you are working with a quadratic divisor, you should end up, assuming there is a remainder at all, with a linear remainder.

If you are this unfamiliar with polynomial long division, then you need to review the process with some simpler problems. Your example is rather advanced for someone who doesn't know the process at all.

Review: Purple Math Polynomial Long Division

John

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