Answer :
Answer:
64.
Step-by-step explanation:
The Remainder Theorem states that if (x - a) is a factor of f(x) then f(a) is a remainder when f(x) is divided by (x - a.)
So here, by the Remainder Theorem the remainder will be f(4).
So it is = (4)^2 + 14(4) - 8
= 16 + 56 - 8
= 72 - 8
= 64.
Answer: The remainder is 64.
Step-by-step explanation:
By definition, when we divide a polynomial f(x) by [tex](x-a)[/tex] the remainder will be:
[tex]f(a)[/tex]
In this case we know that f(x) is:
[tex]f(x) = x^2 + 14x -8[/tex]
And we need to find the remainder when it is divided by [tex](x -4)[/tex].
Therefore, substituting [tex]x=4[/tex] into f(x), we get that the remainder is: [tex]f(4) = (4)^2 + 14(4) -8\\\\f(4)=64[/tex]