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If the zero of (p(x)=ax+b) is (-4) and (a=3), what is (b)?
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Answer and explanation
Correct answer: \(12\)
Since \(-4\) is a zero of the polynomial, \(p(-4)=0\). Thus, \(-4a+b=0\). Substituting \(a=3\) gives \(-12+b=0\), so \(b=12\). Taking \(-12\) would not satisfy the equation. Exam tip: if \(r\) is a zero, always use \(p(r)=0\).
Frequently asked questions
What is the correct answer to this question?
\(12\)
Why is this the correct answer?
Since \(-4\) is a zero of the polynomial, \(p(-4)=0\). Thus, \(-4a+b=0\). Substituting \(a=3\) gives \(-12+b=0\), so \(b=12\). Taking \(-12\) would not satisfy the equation. Exam tip: if \(r\) is a zero, always use \(p(r)=0\).
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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