Which point on the number line represents the zero of the polynomial \(q(x)=x-8\)?
Answer and explanation
Correct answer: 8
The zero of a polynomial is the value of \(x\) that makes the polynomial equal to zero. Thus, putting \(q(x)=0\), we get \(x-8=0\), so \(x=8\). Therefore, the zero is represented by the point 8 on the number line. Exam tip: the zero of a polynomial of the form \(x-a\) is \(a\), not \(-a\).
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
The zero of a polynomial is the value of \(x\) that makes the polynomial equal to zero. Thus, putting \(q(x)=0\), we get \(x-8=0\), so \(x=8\). Therefore, the zero is represented by the point 8 on the number line. Exam tip: the zero of a polynomial of the form \(x-a\) is \(a\), not \(-a\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.
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