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Nature of Solutions Graphically

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Question

Draw a graph between $y = p (x)$ , where polynomial having three zeros.

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Solution

A polynomial having three zeroes crosses the x-axis three times.

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Similar questions

Q. Look at the graph given. It is the graph of

y = p (x)

, where p(x) is a polynomial. Find the number of zeros of

p (x)

.

Q. Draw a graph for the polynomial

p (x) = x^{2} + 3 x - 4

and find its zeroes from the graph.

Q. STATEMENT -1 : From the given graph of y

=

p(x), number of zeroes of p(x) is 1.
STATEMENT -2 : The number of points where the graph cuts the x-axis gives the zeroes of any polynomial p(x).

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y = p (x)

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and find the zeroes from the
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