Find all rational zeros of 2x4 11x3 2x2 41x 30 0 Given

Find all rational zeros of: 2x^4 + 11x^3 - 2x^2 - 41x - 30 = 0 Given f(x) = x + 5/x^2 - 25 Find the vertical and horizontal asymptotes

Solution

a) 2x^4 + 11x^3 - 2x^2 - 41x - 30 = 0

(x + 1)(x - 2)(x + 5)(2x + 3) = 0

Zeros = -1, 2, -5, -3/2

b) f(x) = (x + 5)/(x^2 - 25)

VA ======> x = 5, x = -5

HA ======> y = 0