The given polynomial is : x³ +5x² -x -5
In the given option : ( x- 1) is common so (x-1) is the factor of the given polynomial
Divide the polynomial by ( x - 1)
Thus on dividing the polynomial x³ +5x² -x -5 by ( x- 1 ) is x² + 6x + 5
Factorize x² + 6x + 5
x² + 6x + 5 = 0
x² + 5x + x + 5 = 0
x(x+5)+1(x+5)=0
(x + 1)(x + 5) = 0
So, the factors are : (x + 1)(x + 5)( x - 1)
Answer : D) (x + 1)(x + 5)( x - 1)
