Question

if x-2 is a factor of x³-2ax²+ax-1, then the value of a is :

Answer 1

$(x - 2) \: is \: a \: factor \: of \: p(x) = \\ x {}^{3} - 2ax {}^{2} + ax - 1$

$= > p(2) = 0$

$= > (2) {}^{3 } - 2a(2) {}^{2} + a(2) - 1 = 0$

$= > 8 - 8a + 2a - 1 = 0$

$= > 7 - 6a = 0$

$= > 6a = 7$

$ANSWER \: ☄ \: a = 7/6$

Step-by-step explanation:

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