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Dividing Polynomials Nicola Breen Nikki Lustrino Kerry Graziosa
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Synthetic Division: a shortened version of long division, may be used when a polynomial of degree 1 or higher is divided by x-c
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12-31 1-1-14 11-45 Answer: x²+x-4 remainder 5 The answer’s first exponent is always one less than the equation’s highest degree Multiply by the number on the left, and carry the result into the next column. Add down the column. Repeat
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Long Division: arithmetical division in which the divisor has two or more figures and a series of steps is made as successive groups of digits of the dividend are divided by the divisor
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R:-2x+3 The first number of the dividend is divided by the divisor. The whole number result is placed at the top. Any remainders are ignored at this point. The answer from the first operation is multiplied by the divisor. The result is placed under the number divided into. Now take away the bottom number from the top number. Bring down the next number of the dividend. Repeat.
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Factor Theorem: a theorem linking factors and zeros of a polynomial. It is commonly applied to factorizing and finding the roots of polynomial equations.
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5 -214-2420 -1020-20 -2 4 -4 0 Set up the synthetic division. Follow the steps of synthetic division
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