Question

what will be the number of zeros of the polynomial whose graphs are either touching or intersecting the axis only at the points.
i) (-3,0) (0, 2 and (3,0)
ii) (0,4)(0,0) and (0,-4)​

Answer 1

Answer:

The number of zeroes of p(x) is the number of times the curve intersects the x-axis, i.e; attains the value 0.

Here, the polynomial p(x) meets the x-axis at 1 point.

So, number of zeroes =1.

I hope it's helpful ☺️

Step-by-step explanation:

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Answer 2

after plotting the graphs of these two polynomials we can see that the first one I s quadratic polynomial as it is clearly a parabola.

the second one is a line overlapping the x axis

conclusion

polynomial one is having 2 zeroes

polynomial two is having infinite zeroes.

Thanks!