Answer:
The remainder is 87.
Step-by-step explanation:
By definition of remainder theorem, whenever a polynomial f(x) is divided by (x-b) the remainder will be: f(b)
Following the Remainder Theorem, in this question the remainder will be f(5).
In this case we were given f(x) as
f(x) = x^2 + 14x − 8
We're are to find the remainder when it is divided by (x-5)
Then(x-5)= 0
X=5
If we substitute x=5 into equation of f(x), we will have the remainder of
f(x) = x^2 + 14x − 8
f(4)= (5)^2 +14(5)-8
f(4)=25+70-8
f(4)=87
Hence, The remainder is 87.
