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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q 5.83 (page 546)

Use synthetic division to find the quotient and remainder when $3 x^{3} + 10 x^{2} + 6 x - 2$ is divided by $x + 2$

Short Answer

Expert verified

The quotient is $3 x^{2} + 4 x - 2$ and the remainder is 2

Step by step solution

01

Step 1. Given information

$3 x^{3} + 10 x^{2} + 6 x - 2$ is divided by $x + 2$

02

Step 2. Divide the polynomial

Write the problem in the division format

Perform the Synthetic division

The quotient is $3 x^{2} + 4 x - 2$ and the remainder is $2$

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