If a polynomial has values \(p(-4)=0\), \(p(0)=3\), \(p(2)=0\), \(p(5)=0\), how many of the given x‑values are zeros (roots) of the polynomial?
Answer and explanation
Correct answer: Three
A zero (root) is an x‑value where the function value equals 0. Here \(p(-4)=0\), \(p(2)=0\), and \(p(5)=0\), so there are three zeros. Since \(p(0)=3\) is not zero, x=0 is not a root. Exam tip: always verify that the function value is 0 at a given x before counting it as a root.
Frequently asked questions
What is the correct answer to this question?
Three
Why is this the correct answer?
A zero (root) is an x‑value where the function value equals 0. Here \(p(-4)=0\), \(p(2)=0\), and \(p(5)=0\), so there are three zeros. Since \(p(0)=3\) is not zero, x=0 is not a root. Exam tip: always verify that the function value is 0 at a given x before counting it as a root.
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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