Let f(x)= x^2+kx+p/x-m have zeros for x at -2 and -5 and be undefined when x=3. Find (2k+3p+4m)

Question

Let f(x)= x^2+kx+p/x-m have zeros for x at -2 and -5 and be undefined when x=3. Find (2k+3p+4m)

Answer 1

To be undefined

x - 5 = 0

x = 5

(x + 2)(x + 5) = x² + kx + p

x² + 7x + 10 = x² + kx + p

k = 7, p = 10