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(A) To determine if $(x+1)$ is a factor of $P(x) = 6x^3 + 11x^2 - 5x - 12$,we use the Factor Theorem.According to the Factor Theorem,$(x+1)$ is a fact

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$6x^3 + 11x^2 - 5x - 12$

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(A) To determine if $(x+1)$ is a factor of $P(x) = 6x^3 + 11x^2 - 5x - 12$,we use the Factor Theorem.According to the Factor Theorem,$(x+1)$ is a factor of $P(x)$ if and only if $P(-1) = 0$.Substitute $x = -1$ into the polynomial:$P(-1) = 6(-1)^3 + 11(-1)^2 - 5(-1) - 12$$P(-1) = 6(-1) + 11(1) + 5 - 12$$P(-1) = -6 + 11 + 5 - 12$$P(-1) = 5 + 5 - 12$$P(-1) = 10 - 12$$P(-1) = -2$Since $P(-1) 
eq 0$,$(x+1)$ is not a factor of the given polynomial.

From the following polynomials,find out which of them has $(x+1)$ as a factor:
$P(x) = 6x^3 + 11x^2 - 5x - 12$

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From the following polynomials,find out which of them has $(x+1)$ as a factor:$P(x) = 6x^3 + 11x^2 - 5x - 12$