Question

Question 18(Multiple Choice Worth 5 points)

Answer 1

Answer: Option b

$f (1) = 0$

Step-by-step explanation:

For a function of the form

$f (x) = ax ^ n + bx ^ {n-1} + ... + c$

Where n is the main exponent of the polynomial and a, b c are the coefficients of the variables then this polynomial can be written based on its factors as

$f (x) = a (x-h) (x-k) (x-s)...$

Where $x = h$, $x = k$, $x = s$, ... are the points where $f(x) = 0$

Therefore if for this case we know that

$(x-1)$ is a factor of a polynomial function $f (x)$ then it is fulfilled that

$f (1) = 0$