Which option has (p(-5)=0) and (p(x)) is linear?
Answer and explanation
Correct answer: \(p(x)=x+5\)
For \(p(x)=x+5\), substituting \(x=-5\) gives \(p(-5)=-5+5=0\). Its highest power of \(x\) is 1, so it is a linear polynomial. Although \(x^2-25\) also gives 0 at \(-5\), its degree is 2, so it is quadratic, not linear. Exam tip: a linear polynomial always has degree 1.
Frequently asked questions
What is the correct answer to this question?
\(p(x)=x+5\)
Why is this the correct answer?
For \(p(x)=x+5\), substituting \(x=-5\) gives \(p(-5)=-5+5=0\). Its highest power of \(x\) is 1, so it is a linear polynomial. Although \(x^2-25\) also gives 0 at \(-5\), its degree is 2, so it is quadratic, not linear. Exam tip: a linear polynomial always has degree 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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