Question

Find the value of a, if x-a is a factor of x^3-ax^2+2x+a-1

Answer 1

this is my answer
hope you understood

Answer 2

Heya ✋

Let see your answer !!!!

$let \: p(x) = x ^{3} - ax ^{2} + 2x + a \\ - 1 \\ let \: g(x) = x - a \\ = > x - a = 0 \\ = > x = a \\ p(a) = a ^{3} - a \times a ^{2} + 2 \times a \\ + a - 1 \\ = > 0 = a ^{3} - a ^{3} + 2a + a - 1 \\ = > 0 = 3a - 1 \\ = > 1 = 3a$
=> a = 1/3









Thanks :))))