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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The value of 'a'for which the equation (a2+4a+3)x2+(a2−a−2)x+(a+1)a=0 has more than two roots is

The correct option is D -1(a2+4a+3)x2+(a2−a−2)x+(a+1)a=0 (a+1)(a+3)x2+(a+1)(a−2)x+(a+1)a=0 (a+1)[(a+3)x2+(a−2)x+a]=0 If a=-1, then quadratic have more than two roots.

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

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.