Question

Find the value of a, if x - a is a factor of x3- ax2 + 2x + a - 1
(a) 2/3
(b) 1/3
(c) 1
(d) 3

Answer 1

Step-by-step explanation:

Hi there !!!

Given,

x - a is a factor

we know,

x - a = 0

x = 0+a = a

Substitung the value of x as a,

we have,

(a)^3 - a(a)^2 + 2(a) + a - 1 =0

a^3 - a^3 + 2a + a - 1=0

3a - 1=0

3a =1

a = 1/3