MCQ - 358-9090

Correct Answer: A

Explanation:

We know that, for a quadratic equation ax²+ box + c
Sum of zeroes

Product of zeroes Given equation = 2x² + x - 6 and zeroes are α and β
Therefore,
Now, any quadratic equation having α and β as zeroes will have the form
p(x) = x2 - (α + β)x + αβ
⇒ equation having α and β as zeroes will have the form p(x) = x2 - (2α + 2β)x + (2α)(2β)
⇒ p(x) = x2 - 2(α + β)x + 4αβ
From [1] and [2]
Hence required equation is x² + x - 12.