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Sullivan Algebra and Trigonometry: Section R.6 Polynomial Division

Learn how to divide polynomials using long division and synthetic division methods. Understand the concepts of quotient, remainder, and fundamentals of division. Verify your division answer by multiplying the quotient by the divisor and adding the remainder.

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Sullivan Algebra and Trigonometry: Section R.6 Polynomial Division

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  1. Sullivan Algebra and Trigonometry: Section R.6Polynomial Division • Objectives of this Section • Divide Polynomials Using Long Division • Divide Polynomials Using Synthetic Division

  2. Quotient Dividend 15 Divisor 1 Remainder Terms and Fundamentals of Division To check your answer obtained from division, multiply the quotient by the divisor and add the remainder. The answer should be the dividend. (Quotient)(Divisor) + Remainder = Dividend

  3. Example: Find the quotient and remainder when is divided by .

  4. Check: Thus,

  5. Synthetic Division is a process whereby the quotient and remainder can be determined when a polynomial function f is divided by g(x) = x - c. Synthetic Division is a shorter version of polynomial long division where only the coefficients of each term in the dividend, divisor, and quotient are written.

  6. Use synthetic division to find the quotient and remainder when The coefficients of the divisor and dividend are written as follows:

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