If the origin lies between zeroes of the polynomial f x = x 2 4 - a x + a 2 + a - 2 , then the number of integral value(s) of a is

Step-by-step solution

For zeroes on either side of the origin. Opening upward parabola ⇒ f 0 < 0 ⇒ a 2 + a - 2 < 0 ⇒ a + 2 a - 1 < 0 ⇒ - 2 < a < 1 ⇒ 2 integers i.e. - 1,0