If (x+1) is a factor of $x^{3} + 11 x^{2} + 15 x + a$ then the value of 'a' is

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Solution

The correct option is C 5
$x + 1 \div x^{3} + 11 x^{2} + 15 x + a ∖ x^{2} + 10 x + 5$
$x^{3} + x^{2}$ ( subtracted)
..............................................................
$10 x^{2} + 15 x + a$
$10 x^{2} + 10 x$ (subtracted)
....................................................................
$5 x + a$
$5 x + 5$ (subtracted)
.....................................................................................................
a-5
If x+1 is the factor of $x^{3} + 11 x^{2} + 15 x + a$
Then a-5=0 or a=5

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