For which value will the zero of ((2a-3)x-9) be (3)?
Answer and explanation
Correct answer: \(a=3\)
A zero equal to 3 means that the polynomial must have value 0 when \(x=3\). Thus, \(3(2a-3)-9=0\). Simplifying gives \(6a-18=0\), so \(a=3\). For example, if \(a=1\), the value is \(-12\), so it is not correct. Exam tip: Substitute the given zero into the polynomial and set its value equal to zero.
Frequently asked questions
What is the correct answer to this question?
\(a=3\)
Why is this the correct answer?
A zero equal to 3 means that the polynomial must have value 0 when \(x=3\). Thus, \(3(2a-3)-9=0\). Simplifying gives \(6a-18=0\), so \(a=3\). For example, if \(a=1\), the value is \(-12\), so it is not correct. Exam tip: Substitute the given zero into the polynomial and set its value 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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