If \(f(x)=x^2+2x-8\), which of the following numbers is a zero of \(f(x)\)?
Answer and explanation
Correct answer: 2
A number is a zero of a polynomial if the value of the polynomial at that number is zero. \(f(2)=2^2+2(2)-8=4+4-8=0\), so 2 is a zero of the polynomial. For comparison, \(f(4)=16\), so 4 is not a zero. Exam tip: substitute each option into the polynomial and select the one that gives 0.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
A number is a zero of a polynomial if the value of the polynomial at that number is zero. \(f(2)=2^2+2(2)-8=4+4-8=0\), so 2 is a zero of the polynomial. For comparison, \(f(4)=16\), so 4 is not a zero. Exam tip: substitute each option into the polynomial and select the one that gives 0.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
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