if x-a is a factor of ( x³- ax²+ 2x +a-1), find the value of a​

2 thoughts on “if x-a is a factor of ( x³- ax²+ 2x +a-1), find the value of a​”

1. Given question -:

   if x-a is a factor of ( x³- ax²+ 2x +a-1), find the value of a

   let’s try to solve the question

   Given that x-a is a factor of

   [tex] {x}^{3} – a {x}^{2} + 2x + a – 1[/tex]

   so

   [tex]x – a = 0[/tex]

   [tex]x = a[/tex]

   Now put the value of x in above equation

   [tex] \implies \: {x}^{3} – {x}^{2} + 2x + a – 1 = 0[/tex]

   [tex] \implies \: {a}^{3} – (a) {a}^{2} + 2a + a – 1 = 0 [/tex]

   [tex] \implies \: {a}^{3} – {a}^{3} + 2a + a – 1 = 0[/tex]

   [tex] \implies \: 3a – 1 = 0[/tex]

   [tex] \implies \: a= \frac{1}{3} [/tex]

   Hope this will help you

   Thank you..

   Reply

2. Answer:

   4 a

   Step-by-step explanation:

   I think it I don’t it is correct answer

   Reply