Question

Find any rational root of P(x).

p(x) = x^3 + 5x^2 + x + 5

Answer 1

P(x) = (x + 5) (x + 1)(x -1)

Explanation:

P(x) = x³ + 5x² – x – 5

P(x) = x²(x+5) - (x + 5)

P(x) = (x + 5)(x² - 1)