For which value will the zero of ((k+5)x-11) be (1)?
Answer and explanation
Correct answer: \(k=6\)
If \(x=1\) is a zero of \(((k+5)x-11)\), then \((k+5)(1)-11=0\). Thus, \(k+5-11=0\), so \(k=6\). For \(k=-5\), the coefficient of \(x\) becomes zero and the expression is \(-11\), which has no zero. Exam tip: substitute the given zero into the polynomial and equate the result to zero.
Frequently asked questions
What is the correct answer to this question?
\(k=6\)
Why is this the correct answer?
If \(x=1\) is a zero of \(((k+5)x-11)\), then \((k+5)(1)-11=0\). Thus, \(k+5-11=0\), so \(k=6\). For \(k=-5\), the coefficient of \(x\) becomes zero and the expression is \(-11\), which has no zero. Exam tip: substitute the given zero into the polynomial and equate the result 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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