Problema Solution
Write a polynomial of the lowest degree with zeros of -4( multiplicity 1), 1 (multiplicity 1) with f(0)=16
Answer provided by our tutors
f(x) = a(x - (-4))(x - 1)
We use the fact that f(0) = 16 to find a:
a(0 - (-4))(0 - 1) = 16
-4a = 16
a = -16/4
a = -4
The polynomial is:
f(x) = (-4)(x - (-4))(x - 1)
f(x) = -4x^2 - 12x + 16