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Q.

State whether the following statement is true or false.

The graph of the polynomial $f x = 2 x − 5$ is a straight line that intersects the x-axis at more than one point.

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a

True

b

False

answer is B.

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Detailed Solution

Given polynomial is,

f x = 2 x − 5 = y (say)

Therefore, we can draw a table as,
Question Image

Question Image

Draw the graph of the polynomial f(x) = 2x - 5. Also, find the coordinates of the point where it crosses X-axis. - Sarthaks eConnect | Largest Online Education Community

As we can clearly see in the graph the polynomial

f x = 2 x − 5

cuts the x-axis at exactly one point.
Therefore the given statement is not true.
Hence option (2) is correct.

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