Find the value of a, if x-a is a factor of x^ | vedclass

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Question

Let $p(x)=x^{3}-a x^{2}+2 x+a-1$

Since $x-a$ is a factor of $p(x),$ so $p(a)=0.$

i.e., $\quad a^{3}-a(a)^{2}+2 a+a-1=0$

$a^{3}-a^{3}+2 a+a-1=

Vedclass · Accepted Answer

$\frac{1}{3}$

Vedclass · Answer

Let $p(x)=x^{3}-a x^{2}+2 x+a-1$

Since $x-a$ is a factor of $p(x),$ so $p(a)=0.$

i.e., $\quad a^{3}-a(a)^{2}+2 a+a-1=0$

$a^{3}-a^{3}+2 a+a-1=0$

$3 a=1$

Therefore, $a=\frac{1}{3}$

Find the value of $a$, if $x-a$ is a factor of $x^{3}-a x^{2}+2 x+a-1$.

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