143k views
5 votes
What is the remainder when x3+4x2−7x−10 is divided by x+4?

Enter your answer as an integer, like this: 42

1 Answer

5 votes

Answer:

18

Explanation:

If a polynomial f(x) is divided by (x + h) then the remainder is equal to f(- h)

Given

f(x) = x³ + 4x² - 7x - 10 and divided by (x + 4), then the remainder is

f(- 4) = (- 4)³ +4(- 4)² - 7(- 4) - 10 = - 64 + 64 + 28 - 10 = 18

Thus the remainder is 18

User Scgough
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories