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

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Yes,it is a factor.

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(A) To determine if $(x-1)$ is a factor of the polynomial $p(x) = 2x^3 + 5x^2 - x - 6$,we use the Factor Theorem.According to the Factor Theorem,$(x-a)$ is a factor of $p(x)$ if $p(a) = 0$.Here,$a = 1$.Substitute $x = 1$ into the polynomial:$p(1) = 2(1)^3 + 5(1)^2 - (1) - 6$$p(1) = 2(1) + 5(1) - 1 - 6$$p(1) = 2 + 5 - 1 - 6$$p(1) = 7 - 7 = 0$.Since $p(1) = 0$,$(x-1)$ is a factor of the given polynomial.

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

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