Question

The graph of the polynomial f(x) = ax² + bx + c is as shown in Fig. 2.20. Write the value of b² − 4ac and the number of real zeros of f(x).

Answer 1

The graph of the polynomial or the curve touches x−axis at point. The x-coordinate of this point gives two equal zeros of the polynomial and.

Hence the number of real zeros of is 2 and