If one zero of the polynomial \(p(x)=2x^2+mx+18\) is \(3\), what is its other zero?
Answer and explanation
Correct answer: 3
For a quadratic polynomial \(ax^2+bx+c\), the product of its zeroes is \(\frac{c}{a}\). Here, the product is \(\frac{18}{2}=9\). If the other zero is \(\alpha\), then \(3\alpha=9\), giving \(\alpha=3\). Thus, the correct answer is 3. Exam tip: Find the product of the zeroes by dividing the constant term by the coefficient of \(x^2\).
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
For a quadratic polynomial \(ax^2+bx+c\), the product of its zeroes is \(\frac{c}{a}\). Here, the product is \(\frac{18}{2}=9\). If the other zero is \(\alpha\), then \(3\alpha=9\), giving \(\alpha=3\). Thus, the correct answer is 3. Exam tip: Find the product of the zeroes by dividing the constant term by the coefficient of \(x^2\).
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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