If f(–5) = 0, what are all the factors of the functionf(x) = x3 - 19x + 30? Use the remainder theorem.

If f(–5) = 0, what are all the factors of the functionf(x) = x3 - 19

1.	If f(–5) = 0, what are all the factors of the functionf(x) = x3 - 19x + 30? Use the remainder theorem.
Answer» The factors of the function f(x)= x³ - 19x + 30 are (x + 5), (x - 2), and (x - 3). The remainder theorem is stated as follows: When a polynomial a(x) is divided by a linear polynomial b(x) whose zero is x = k, the remainder is given by r = a(k).