
To find: the division using synthetic division.

Answer to Problem 16E
The result is 3x2−2x−4−4x−1 .
Explanation of Solution
Given information:
Given expression,
(3x3−5x2−2)÷(x−1)
Calculation:
Write the coefficient of the dividend in order of descending exponents. Use 0 for the missing x term.
Because the divisor is x−1 , so k=1 . Write 1 to the left vertical bar.
Bring down the leading coefficient. Multiply the leading coefficient by the 1. Write the product under the second coefficient then add.
Multiply the previous sum −2 by 1. Write the product under the third coefficient then add. Repeat this process for the remaining coefficient.
13−5−203−2−43−2−4−4
The quotient is x2(3)+x(−2)−4=3x2−2x−4 and remainder is v.
Therefore, the result is 3x2−2x−4−4x−1 .
Chapter 4 Solutions
BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
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