Question

Find zeroes of given p(x): p(x) = x3 -4x

Answer 1

To find the zeros of p(x), let p(x) = 0 ;

x³ - 4x = 0

x(x² - 4) = 0

x(x² - 2²) = 0     { Applying identity a² - b² = (a - b) (a + b) }

x (x - 2) (x + 2) = 0

x = 0

x = 2

x = -2