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What is the remainder when f(x) = x2 + 14x − 8 is divided by (x − 5)?

2 Answers

6 votes

Answer:

x+19+87/(x-5)

Explanation:

User Tushar Gupta
by
5.7k points
3 votes

Answer:

87

Explanation:

Following the remainder theorem, we would evaluate the function by the inverse of the constant in the binomial.

The binomial is (x - 5), and the constant in the binomial is -5.

We will evaluate the equation by the inverse, 5:

f(5) = 5² + 14(5) - 8

f(5) = 25 + 14(5) - 8

f(5) = 25 + 70 - 8

f(5) = 87

The remainder is 87.

User Doniel
by
6.2k points