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Algebra 2 Notes – Lesson 6.3 Name _________________________________ Synthetic Division. Divide 3x3 – 4x2 + 2x – 1 by x + 1 (show your work off to the right of the steps listed) Step 1: Change the sign of the constant term in the divisor. Write the coefficients of the polynomial in standard form. Step 2: Bring down the first coefficient. Step 3: Multiply the first coefficient by the new divisor. Write the result under the next coefficient. Add. Step 4: Repeat the steps of multiplying and adding until the remainder is found. Examples. (x3 – 4x2 + 6x – 4) (x – 2) (-2x3 + 5x2 – x + 2) (x + 2) (x4 – 5x2 + 4x + 12) (x + 2) Is x + 3 a factor of 3x2 + 10x2 – x – 12 Use synthetic division and the give factor to completely factor each polynomial function. y = x3 + 3x2 – 13x – 15; (x + 5) y = x3 – 3x2 – 10x + 24; (x – 2)