Question

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

Answer 1

Heya !!!!




Given that ,



( X -A) is a factor of the given polynomial.




( X - A) = 0



X = A




P(X) = X³ - AX² + 2X + A - 1




P(A) = (A)³ + A × (A)² + 2 × A + A - 1




=> A³ - A³ + 2A + A - 1 = 0






=> 3A = 1



=> A = 1/3



★ ★ ★ HOPE IT WILL HELP YOU ★ ★ ★

Answer 2

Given that (x - a) is the factor,

So, x - a = 0
x = a

Putting the value of x in given equation :

x³ - ax² + 2x + a - 1 = 0

(a)³ - a(a)² + 2(a) + a - 1 = 0

a³ - a³ + 2a + a - 1 = 0

3a - 1 = 0

3a = 1

$a = \frac{1}{3}$



I hope this will help you


(-: