Is x+1 a factor of 4x^3 + 7x^2 - 2x - 5 or no | vedclass

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(A) To determine if $(x+1)$ is a factor of the polynomial $p(x) = 4x^3 + 7x^2 - 2x - 5$,we use the Factor Theorem.According to the Factor Theorem,$(x-

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(A) To determine if $(x+1)$ is a factor of the polynomial $p(x) = 4x^3 + 7x^2 - 2x - 5$,we use the Factor Theorem.According to the Factor Theorem,$(x-a)$ is a factor of $p(x)$ if $p(a) = 0$.Here,we set $x+1 = 0$,which gives $x = -1$.Now,we calculate $p(-1)$:$p(-1) = 4(-1)^3 + 7(-1)^2 - 2(-1) - 5$$p(-1) = 4(-1) + 7(1) + 2 - 5$$p(-1) = -4 + 7 + 2 - 5$$p(-1) = 0$Since $p(-1) = 0$,$(x+1)$ is indeed a factor of the given polynomial.

Is $x+1$ a factor of $4x^3 + 7x^2 - 2x - 5$ or not?

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