Which option has (p(0)=8) and (p(x)) is linear?
Answer and explanation
Correct answer: \(p(x)=2x+8\)
A linear polynomial has the form \(ax+b\), where \(a\ne0\). For \(p(x)=2x+8\), \(p(0)=2(0)+8=8\), so option B is correct. In option C, \(p(0)=-8\), while option D has degree 0 and is a constant polynomial, not a linear polynomial. Exam tip: To find \(p(0)\), substitute 0 for \(x\); the result is the constant term.
Frequently asked questions
What is the correct answer to this question?
\(p(x)=2x+8\)
Why is this the correct answer?
A linear polynomial has the form \(ax+b\), where \(a\ne0\). For \(p(x)=2x+8\), \(p(0)=2(0)+8=8\), so option B is correct. In option C, \(p(0)=-8\), while option D has degree 0 and is a constant polynomial, not a linear polynomial. Exam tip: To find \(p(0)\), substitute 0 for \(x\); the result is the constant term.
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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