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Dividing Polynomials Day #2 Advanced Math Topics Mrs. Mongold
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Day # 2 of Dividing Polynomials Synthetic Division Step 1: Write the terms of the dividend so that the degrees of the terms are in descending order. Then write just the coefficients. Step 2: Write the constant r of the divisor x – r to the left. Bring the first coefficient down. Step 3: Multiply the first coefficient by r. Write the product under the second coefficient. Then add the product and the second coefficient. Step 4: Multiply the sum by r. Write the product under the next coefficient and add. Step 5: Multiply the sum by r. Write the product under the next coefficient and add.
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Use synthetic division to find (x 3 – 4x 2 + 6x – 4) ÷ (x – 2).
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x 4 -2x 3 -11x 2 +5x+34 by x +2
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2x 3 - 4x 2 + 5 by x - 2
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x 4 + 3x 3 – 5x + 4 by x + 1
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3x 3 – 2x 2 + 5x + 4 by x - 2
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2x 3 – x 2 – 13x + 1 by x - 3
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3x 3 – 7x + 1 by x – 3
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Remainder Theorem The remainder from synthetic division should be the value you get when you calculate P(r).
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Homework Page 401/15-43 odd
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