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What is the product of the roots of the quadratic polynomial $2 x^{2} + 5 x - 12 = 0$ ?

easy MCQ 1 mark Class 9 · Mathematics · Polynomials

-6
6
-2
2

Answer

-6

The correct answer is -6 — Hence the product of the roots is $- 6$ .

Step-by-step solution

Identify the coefficients: $a = 2$ , $b = 5$ , $c = - 12$ .
Use the product of the roots formula for a quadratic: $r_{1} r_{2} = \frac{c}{a}$ .
Compute $\frac{- 12}{2} = - 6$ .
Hence the product of the roots is $- 6$ .

Common mistake: Using the sum of roots instead of the product

Concept tested: Product of roots of a quadratic

Published 7 October 2026 · How this solution was prepared and checked

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