If \(p(-7)=0\), \(p(-3)=2\), \(p(1)=0\) and \(p(4)=0\), how many of the given x‑values are zeroes of \(p(x)\)?
Answer and explanation
Correct answer: Three
A zero of the polynomial is an x‑value where the function equals 0. Here \(p(-7)=0\), \(p(1)=0\) and \(p(4)=0\), so there are three zeroes. The closest incorrect choice "four" is wrong because \(p(-3)=2\), not 0. Exam tip: verify by substituting the x‑value into \(p(x)\) and confirm the result is exactly 0 before counting it as a zero.
Frequently asked questions
What is the correct answer to this question?
Three
Why is this the correct answer?
A zero of the polynomial is an x‑value where the function equals 0. Here \(p(-7)=0\), \(p(1)=0\) and \(p(4)=0\), so there are three zeroes. The closest incorrect choice "four" is wrong because \(p(-3)=2\), not 0. Exam tip: verify by substituting the x‑value into \(p(x)\) and confirm the result is exactly 0 before counting it as a zero.
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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