If p(x) = 0 is the zero polynomial, which statement about its zeroes is correct?
Answer and explanation
Correct answer: Every real x is a zero
A zero of p(x) is a value of x for which p(x) equals 0. For the zero polynomial, p(x) is identically 0, so substituting any real number gives p(x) = 0. Thus every real number is a zero, and the polynomial has infinitely many real zeroes. It is not restricted to 0 or to positive values, so option B is correct.
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What is the correct answer to this question?
Every real x is a zero
Why is this the correct answer?
A zero of p(x) is a value of x for which p(x) equals 0. For the zero polynomial, p(x) is identically 0, so substituting any real number gives p(x) = 0. Thus every real number is a zero, and the polynomial has infinitely many real zeroes. It is not restricted to 0 or to positive values, so option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Geometrical meaning of the zeroes of a polynomial..
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