Which linear polynomial becomes (0) at (x=3)?
Answer and explanation
Correct answer: \(x-3\)
On substituting \(x=3\), we get \(x-3=3-3=0\). Hence, 3 is a zero of \(x-3\), so it is the correct linear polynomial. In contrast, \(x+3\) gives 6 at \(x=3\), not zero. Exam tip: To check whether a number is a zero of a polynomial, substitute it and verify that the value is 0.
Frequently asked questions
What is the correct answer to this question?
\(x-3\)
Why is this the correct answer?
On substituting \(x=3\), we get \(x-3=3-3=0\). Hence, 3 is a zero of \(x-3\), so it is the correct linear polynomial. In contrast, \(x+3\) gives 6 at \(x=3\), not zero. Exam tip: To check whether a number is a zero of a polynomial, substitute it and verify that the value is 0.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
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