The value of 'a'for which the equation $(a^{2} + 4 a + 3) x^{2} + (a^{2} - a - 2) x + (a + 1) a = 0$ has more than two roots is

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Solution

The correct option is D -1
$(a^{2} + 4 a + 3) x^{2} + (a^{2} - a - 2) x + (a + 1) a = 0$
$(a + 1) (a + 3) x^{2} + (a + 1) (a - 2) x + (a + 1) a = 0$
$(a + 1) [(a + 3) x^{2} + (a - 2) x + a] = 0$
If a=-1, then quadratic have more than two roots.

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