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Question

The graph of the polynomial f(x) = ax2 + bx + c is as shown below (Fig. 2.19). Write the signs of 'a' and b2 − 4ac.

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Solution

Clearly, represent a parabola opening upwards. Therefore,

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

Hence

Hence and


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