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Q.

If the graph of a polynomial cuts the x-axis at two distinct points, then there exist _____  zeroes for that polynomial. 

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a

2

b

1

c

3

d

4

answer is B.

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Detailed Solution

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We know in a given polynomial p(x) of degree n, the graph of y = p(x) intersects the x-axis at most n distinct points. Therefore, a polynomial p(x) of degree 'n' has at most 'n' zeroes. 

Given that the graph cuts the x-axis at two given points.

Hence, the number of zeroes is 2. 

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