Form a quadratic equation whose roots are -2,-3.

x^{2} - 6 x + 5 = 0

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x^{2} - 5 x - 6 = 0

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x^{2} + 5 x + 6 = 0

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x^{2} - 5 x + 6 = 0

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Solution

The correct option is C $x^{2} + 5 x + 6 = 0$
Any quadratic equation can be expressed in the form of product of its factors.
The required equation with the roots -2,-3 is formed as
$(x - (- 2)) (x - (- 3)) = 0 \Rightarrow (x + 2) (x + 3) = 0 \Rightarrow x^{2} + 5 x + 6 = 0$
Therefore the required equation is $x^{2} + 5 x + 6 = 0$

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