Q)  The graph of the polynomial – ax²+bx+c is shown below. Write the signs of ‘a’ and ‘b² – 4ac’.

Ans: Clearly, f(x) = ax² + bx + c represent a parabola opening upwards. Therefore, a>0

Since, the parabola cuts the x-axis at two points, this means that the polynomial will have two real solutions.

Hence, D > 0

= b² – 4ac > 0

Ans. a >0 ; b²-4ac >0

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