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A.4 Polynomial Division a) Long division b) Synthetic Division

A.4 Polynomial Division a) Long division b) Synthetic Division. 1. Long Division - Review. Division Algorithm. +. x. Dividend =. Remainder. Divisor . Quotient. +. x. 2. Polynomial Division. Use long division to solve:. Write in standard form if not already

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A.4 Polynomial Division a) Long division b) Synthetic Division

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  1. A.4 Polynomial Division a) Long division b) Synthetic Division

  2. 1. Long Division - Review Division Algorithm + x Dividend = Remainder Divisor Quotient + x

  3. 2. Polynomial Division Use long division to solve: • Write in standard form if not already • Put in place holders (zeros) for missing terms.

  4. 2. Polynomial Division Write result as: Dividend = (Quotient)(Divisor) + Remainder

  5. More Polynomial Division

  6. More Polynomial Division

  7. 3. Synthetic Division Synthetic Division can be used ONLY whendivisor is of form: x– c

  8. Synthetic Division If divisor is (x + c) use “-c” in the box

  9. Synthetic Division Use synthetic division to perform the indicated operation.

  10. 4. Determine if divisor is a factor Recall the division algorithm: + Remainder Quotient Dividend = Divisor x Is (x-3) a factor of ? IMPORTANT: If the remainder is zero when we perform polynomial division, then the divisor is a factor

  11. 4. Determine if divisor is a factor 1. Is a factor of ? 2. Is a factor of ?

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