If x+1 is a factor of ax^3+x^2-2x+4a-9,find t | vedclass

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(C) Let $p(x) = ax^3 + x^2 - 2x + 4a - 9$.According to the factor theorem,if $(x+1)$ is a factor of $p(x)$,then $p(-1) = 0$.Substituting $x = -1$ into

Vedclass · Accepted Answer

$2$

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(C) Let $p(x) = ax^3 + x^2 - 2x + 4a - 9$.According to the factor theorem,if $(x+1)$ is a factor of $p(x)$,then $p(-1) = 0$.Substituting $x = -1$ into the polynomial:$a(-1)^3 + (-1)^2 - 2(-1) + 4a - 9 = 0$Simplifying the expression:$-a + 1 + 2 + 4a - 9 = 0$Combining like terms:$3a - 6 = 0$Solving for $a$:$3a = 6$$a = 2$

If $x+1$ is a factor of $ax^3+x^2-2x+4a-9$,find the value of $a$.

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