What is the product of the zeroes of the quadratic polynomial \(2x^2-7x+3\)?
Answer and explanation
Correct answer: \(\frac{3}{2}\)
For a quadratic polynomial \(ax^2+bx+c\), the product of its zeroes is \(\frac{c}{a}\). Here, \(a=2\) and \(c=3\), so the product is \(\frac{3}{2}\). Option C, \(-\frac{7}{2}\), is related to the sum of the zeroes, \(-\frac{b}{a}\), not their product. Exam tip: remember that the sum of zeroes is \(-\frac{b}{a}\), while their product is \(\frac{c}{a}\).
Frequently asked questions
What is the correct answer to this question?
\(\frac{3}{2}\)
Why is this the correct answer?
For a quadratic polynomial \(ax^2+bx+c\), the product of its zeroes is \(\frac{c}{a}\). Here, \(a=2\) and \(c=3\), so the product is \(\frac{3}{2}\). Option C, \(-\frac{7}{2}\), is related to the sum of the zeroes, \(-\frac{b}{a}\), not their product. Exam tip: remember that the sum of zeroes is \(-\frac{b}{a}\), while their product is \(\frac{c}{a}\).
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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