Question

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

Answer 1

Answer:

x+a is factor of x

4

−a

2

x

2

+3x−6a

Let p(x)=x

4

−a

2

x

2

+3x−6a

we know that if x−α is a factor of p(x) then p(α)=0

So p(−a)=0

(−a)

4

−a

2

(−a)

2

+3(−a)−a=0

a

4

−a

4

−3a−a=0

−4a=0

a=0