Question

find the value of a if x-a is a factor of x^3-ax^2+2x+a-5​

Answer 1

Answer:

The value of is 5/3

Step-by-step explanation:

The value of x from the factor is 'a'

i.e. x - a = 0

     x = a

Put the value of x in the polynomial x³- ax² + 2x + a - 5​

x³- ax² + 2x + a - 5​ = 0

(a)³- a(a)² + 2(a) + a - 5​ = 0

a³- a³ + 2a + a - 5​ = 0

2a + a - 5 = 0

3a = 5

a = 5/3

∴ The value of a is 5/3