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?

(A) 1
(B) 2
(C) 3
(D) 4

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Solution

Answer: (C) 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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