What is the maximum number of times the graph of the polynomial $y = p x^{3} + q x^{2} + r x + s$ intersects the x axis?

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Solution

The correct option is D 3
The graph of a polynomial of degree ‘n’ can cut the x-axis at a maximum of ‘n’ values.

Since the given polynomial has a degree 3, it can cut the x axis at most 3 times.

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y = p x^{3} + q x^{2} + r x + s

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