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If (p(x)=x+a) and (p(-9)=0), what is (a)?
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Answer and explanation
Correct answer: \(9\)
Given \(p(x)=x+a\) and \(p(-9)=0\), substitute \(-9\) for \(x\): \(-9+a=0\). Hence, \(a=9\). If \(a=-9\), then \(-9+(-9)=-18\), not zero. Exam tip: When a zero of a polynomial is given, substitute it for \(x\) and set the polynomial equal to zero.
Frequently asked questions
What is the correct answer to this question?
\(9\)
Why is this the correct answer?
Given \(p(x)=x+a\) and \(p(-9)=0\), substitute \(-9\) for \(x\): \(-9+a=0\). Hence, \(a=9\). If \(a=-9\), then \(-9+(-9)=-18\), not zero. Exam tip: When a zero of a polynomial is given, substitute it for \(x\) and set the polynomial equal to zero.
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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