Explanation Procedure used: Procedure for Synthetic Division: “1. Write the coefficients of f ( x ) . Be certain that the powers are in descending order and that zeros are inserted for missing powers. 2. Carry down the left coefficient, then multiply it by r , and place this product under the second coefficient of the top line. 3. Add the two numbers in the second column and place the result below. Multiply this sum by r and place the product under the third coefficient of the top line. 4. Continue this process until the bottom row has as many numbers as the top row”. Calculation: Divide the polynomial 2 x 3 − 3 x 2 − 23 x + 12 by x + 3 as follows. The powers of x are in descending order, write down the coefficient of f ( x ) and zeros are inserted for missing powers, write − 3 for the divisor x + 3 and place − 3 to the right. 2 − 3 − 23 12 − 3 Carry the left coefficient 2 to the bottom line and multiply it by − 3 , and place the product − 6 under the second coefficient − 3 of the top line. Proceed in this similar manner, to find the quotient and remainder

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Chapter 15, Problem 2RE

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Whether the following statement is true or false “Using synthetic division to divide 2x3−3x2−23x+12 by x+3, the bottom row of numbers is 2 −9 −4 0”.

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Chapter 15, Problem 1RE

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Whether the following statement is true or false “ Using synthetic division to divide 2 x 3 − 3 x 2 − 23 x + 12 by x + 3 , the bottom row of numbers is 2 − 9 − 4 0 ”.

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Whether the following statement is true or false “Using synthetic division to divide 2x3−3x2−23x+12 by x+3, the bottom row of numbers is 2 −9 −4 0”.

Want to see the full answer?

Chapter 15 Solutions