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Question

The value of aconstantpolynomial can never be zero. Hence, a constant polynomial has no zeroes or roots. For example,p(x) = 8 is a constant polynomial. Let us try to find the roots of this polynomial.

On replacingxwith any number, we will always get 8. Suppose we replacexwith 2. Then,p(2) will still be equal to 8. This will be the case for any value ofx.

what does this means?

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Solution

If p(x) = 8

then for every value of x, p(x) = 8

Assuming p(x) = y = 8

While drawing its graph we get a line parallel to x-axis as for each and every value of x,
y = 8.

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