If \(p(-9)=0\), \(p(-4)=2\), \(p(2)=0\) and \(p(6)=0\), how many of the given x-values are zeros of \(p(x)\)?
Answer and explanation
Correct answer: Three
A zero (root) of a polynomial is an x-value where \(p(x)=0\). Here \(p(-9)=0\), \(p(2)=0\) and \(p(6)=0\), so there are three zeros among the given x-values. \(p(-4)=2\) is not zero, so it is not a root. Exam tip: always check the function value equals zero — other values (like 2) do not count as zeros.
Frequently asked questions
What is the correct answer to this question?
Three
Why is this the correct answer?
A zero (root) of a polynomial is an x-value where \(p(x)=0\). Here \(p(-9)=0\), \(p(2)=0\) and \(p(6)=0\), so there are three zeros among the given x-values. \(p(-4)=2\) is not zero, so it is not a root. Exam tip: always check the function value equals zero — other values (like 2) do not count as zeros.
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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