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If \(x=3\) is a zero of the polynomial \(p(x)=x^2-kx+12\), what is the value of \(k\)?
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Answer and explanation
Correct answer: 7
Since the polynomial is zero at its zero, \(p(3)=0\). Thus, \(3^2-3k+12=0\), giving \(21-3k=0\) and hence \(k=7\). Therefore, 7 is correct. Exam tip: whenever a zero is given, substitute it in the polynomial and set the result equal to zero.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
Since the polynomial is zero at its zero, \(p(3)=0\). Thus, \(3^2-3k+12=0\), giving \(21-3k=0\) and hence \(k=7\). Therefore, 7 is correct. Exam tip: whenever a zero is given, substitute it in the polynomial and set the result equal to zero.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
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