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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q.333. (page 552)

Use the remainder theorem to find the remainder.
$f (x) = 7 x^{2} - 5 x - 8$ divided by $x - 1$ .

Short Answer

Expert verified

The solution is $- 6$ .

Step by step solution

01

Step 1. Given information.

$f (x) = 7 x^{2} - 5 x - 8$ is divided by $x - 1$ .

02

Step 2. To find the remainder.

Write the divisor $x - 1$ in the form $x - c$ as $x - (1)$ , so $c = 1$ .

Substitute $x = 1$ in $f (x) = 7 x^{2} - 5 x - 8$ .

$f (1) = 7 {(1)}^{2} - 5 (1) - 8 鈬� 7 - 5 - 8 鈬� - 6$

03

Step 3. Simplified answer.

Hence, the remainder is $- 6$ .

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