Which option has (p(0)=5) and (p(x)) is linear?
Answer and explanation
Correct answer: \(p(x)=x+5\)
To find \(p(0)\), substitute \(x=0\). For \(p(x)=x+5\), \(p(0)=0+5=5\), and its degree is 1, so it is a linear polynomial. Although \(p(x)=5\) also gives \(p(0)=5\), it is a constant polynomial, not a linear one. Exam tip: a linear polynomial has highest power 1.
Frequently asked questions
What is the correct answer to this question?
\(p(x)=x+5\)
Why is this the correct answer?
To find \(p(0)\), substitute \(x=0\). For \(p(x)=x+5\), \(p(0)=0+5=5\), and its degree is 1, so it is a linear polynomial. Although \(p(x)=5\) also gives \(p(0)=5\), it is a constant polynomial, not a linear one. Exam tip: a linear polynomial has highest power 1.
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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