Question

The graph of a polynomial is shown in Fig. 1, then the number of its
zeroes is
Fig. 1​

Answer 1

The graph of a polynomial is shown in Fig. 1, then the number of its

zeroes is  

Fig. 1​

A total of 2 zeros.

For a polynomial, the graph obtained will be parabolic curve.

If it touches the x-axis at only one point then it has 2 equal roots.

D = b² - 4ac = 0

And if it touches the x-axis at 2 different points, then it has 2 distinct roots.

D = b² - 4ac > 0