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If the zero of (p(x)=3x+a) is (-2), what is the value of (a)?
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Answer and explanation
Correct answer: \(6\)
A zero of a polynomial is a value for which the polynomial equals 0. Thus, putting \(p(-2)=0\), we get \(3(-2)+a=0\). Hence, \(-6+a=0\), so \(a=6\). If \(a=-6\), then \(p(-2)=-12\), not 0. Exam tip: Substitute the given zero for \(x\) and equate the polynomial to 0.
Frequently asked questions
What is the correct answer to this question?
\(6\)
Why is this the correct answer?
A zero of a polynomial is a value for which the polynomial equals 0. Thus, putting \(p(-2)=0\), we get \(3(-2)+a=0\). Hence, \(-6+a=0\), so \(a=6\). If \(a=-6\), then \(p(-2)=-12\), not 0. Exam tip: Substitute the given zero for \(x\) and equate the polynomial to 0.
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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