Question

Using the graph of a polynomial, y = p(x), in figure, write the number of zeroes of p(x)​

Answer 1

Given :   y = p(x)  graph  

To Find :   number of zeroes of p(x)​

Solution:

Number of Zeroes are number of time curve intersects x -axis

but there is a special case where it just  touches x - axis and bounces off the axis then zeroes are of even multiplicity.

Here graph y = P(x)

intersecting at two points and touching x axis at one point

hence total zeroes  = 2 + 2 = 4

number of zeroes of p(x)​ are 4

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