If p(-10)=0, p(-1)=4, p(3)=0 and p(12)=0, how many of the given x-values are zeroes of p(x)?
Answer and explanation
Correct answer: 3
A value x is a zero of the polynomial exactly when \(p(x)=0\). Here \(p(-10)=0\), \(p(3)=0\) and \(p(12)=0\), so there are three zeroes. Since \(p(-1)=4\) is not zero, it is not counted. Exam tip: verify the function value equals 0 exactly rather than assuming from sign or proximity.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
A value x is a zero of the polynomial exactly when \(p(x)=0\). Here \(p(-10)=0\), \(p(3)=0\) and \(p(12)=0\), so there are three zeroes. Since \(p(-1)=4\) is not zero, it is not counted. Exam tip: verify the function value equals 0 exactly rather than assuming from sign or proximity.
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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