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Given f(x)=x^3+9x+k, and x-1 is a factor of f(x), then what is the value of k?

User EgorD
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1 Answer

7 votes

Answer:

r:
The function is

The remainder when f(x) is divided by x−2 is 23.

To find:The value of k.

Solution:

According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).

It is given that, the remainder when f(x) is divided by x−2 is 23. By using remainder theorem, we get

Put x=2, to find the value of f(2).Therefore, the value of k is 8.

Explanation:

User Vonnie
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