The table gives \(p(-2)=6,\; p(1)=0,\; p(3)=-4,\; p(5)=0\). Which x-values are zeroes of the polynomial \(p(x)\)?
Answer and explanation
Correct answer: (1) and (5)
Zeroes of a polynomial are the x‑values for which \(p(x)=0\). The table shows \(p(1)=0\) and \(p(5)=0\), so x=1 and x=5 are zeroes. Option A is wrong because \(p(-2)=6\) and \(p(3)=-4\) are not zero. Option C lists output values (y‑values), not x‑values. Exam tip: scan the table for entries where \(p(x)=0\), not where the function value is nonzero.
Frequently asked questions
What is the correct answer to this question?
(1) and (5)
Why is this the correct answer?
Zeroes of a polynomial are the x‑values for which \(p(x)=0\). The table shows \(p(1)=0\) and \(p(5)=0\), so x=1 and x=5 are zeroes. Option A is wrong because \(p(-2)=6\) and \(p(3)=-4\) are not zero. Option C lists output values (y‑values), not x‑values. Exam tip: scan the table for entries where \(p(x)=0\), not where the function value is nonzero.
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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