For which value will the zero of ((n+4)x+2n-1) be (1)?
Answer and explanation
Correct answer: \(n=-1\)
Since \(x=1\) is a zero of the polynomial, \((n+4)(1)+2n-1=0\). Simplifying gives \(n+4+2n-1=0\), so \(3n+3=0\). Hence, \(n=-1\). Substituting \(n=-\frac{1}{3}\) does not make the polynomial zero. Exam tip: substitute the given zero into the polynomial and equate the result to 0.
Frequently asked questions
What is the correct answer to this question?
\(n=-1\)
Why is this the correct answer?
Since \(x=1\) is a zero of the polynomial, \((n+4)(1)+2n-1=0\). Simplifying gives \(n+4+2n-1=0\), so \(3n+3=0\). Hence, \(n=-1\). Substituting \(n=-\frac{1}{3}\) does not make the polynomial zero. Exam tip: substitute the given zero into the polynomial and equate the result 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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