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

Question

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, 1, 2, 3, more than 3

MARKS App · Accepted Answer

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

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