If is a factor of each of the following two polynomials, find the values of `a` in each case. `x^3-2a x^2+a x-1` `x^5-3x^4-a x^3+3a x^2+2a x+4`

Explanation

(x-a) is factor of f(x)

f(a)=0

`f(x)=x^3-2ax^2+ax-1`

`f(2)=0`

`2^3-2a2^2+a*2-1=0`

`8-8a+2a-1=0`

`a=7/6`

`g(x)=x^5-3x^4-ax^3+2ax+4`

...