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Please Help!!!

What is the remainder when (x3 − 6x2 − 42x + 79) is divided by (x + 5)?

A) 7

B) 11

C) 13

D) 14

User Gamingumar
by
8.2k points

2 Answers

3 votes

Answer:

14

Explanation:

User Tar
by
8.8k points
5 votes
By synthetic division,

-5 | 1 -6 -42 79
. | -5 55 -65
- - - - - - - - - - - - - - - - -
. | 1 -11 13 14


\implies(x^3-6x^2-42x+79)/(x+5)=x^2-11x+13+(14)/(x+5)

\implies x^3-6x^2-42x+79=(x^2-11x+13)(x+5)+14

When
x=-5, you're left with a remainder of 14.
User Aramis NSR
by
8.2k points
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