Which option has (p(0)=-6) and (p(x)) is linear?
Answer and explanation
Correct answer: \(p(x)=x-6\)
A linear polynomial has degree 1 and is of the form \(ax+b\), where \(a\ne0\). For \(p(x)=x-6\), \(p(0)=0-6=-6\), so option B is correct. Although \(p(x)=-6\) gives \(p(0)=-6\), it is a constant polynomial, not a linear one. Exam tip: To find \(p(0)\), substitute 0 for \(x\).
Frequently asked questions
What is the correct answer to this question?
\(p(x)=x-6\)
Why is this the correct answer?
A linear polynomial has degree 1 and is of the form \(ax+b\), where \(a\ne0\). For \(p(x)=x-6\), \(p(0)=0-6=-6\), so option B is correct. Although \(p(x)=-6\) gives \(p(0)=-6\), it is a constant polynomial, not a linear one. Exam tip: To find \(p(0)\), substitute 0 for \(x\).
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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