The quadratic function f ( x ) = a x 2 + b x + c f(x) = ax^2 + bx + c f ( x ) = a x 2 + b x + c , where a < 0 a < 0 a < 0 , has two distinct ...

Question

The quadratic function

f(x)=ax2+bx+cf(x) = ax^2 + bx + c
, where
a<0a < 0
, has two distinct roots selected from the set
{2,1,0,1,2}{-2, -1, 0, 1, 2}
. Determine how many pairs of roots are possible such that
f(0)0f(0) \geq 0
.

Options

A.

4

B.

6

C.

8

D.

10

algebraequationsquadratic equationsopposite signsroots

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