which of the following is the correct representation of the polynomial
f(x) = x4 - 2x3 + 2x - 1 as a product of linear factors?

a. f(x) = (x+1)(x - 1)(x - 1)(x+1)
b. f(x) = (x - 1)(x - 1)(x - 1)(x + 1)
c. f(x) = (x-1)(x-1)(x - 1)(x - 1)
d. f(x) = (x + 1)(x + 1)(x+1)(x + 1)

Your answer is B: F(x)=(x-1)(x-1)(x-1)(x+1)

  7

 ————

 15x2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (4 • (x2))      7y  

 —————————— • ————————

     5y       (22•3x4)

Step  2  :

              7y  

Simplify   ————————

           (22•3x4)

Equation at the end of step  2  :

 (4 • (x2))    7y

 —————————— • ————

     5y       12x4

Step  3  :

Equation at the end of step  3  :

 22x2    7y

 ———— • ————

  5y    12x4

Step  4  :

           22x2

Simplify   ————

            5y

Equation at the end of step  4  :

 4x2    7y

 ——— • ————

 5y    12x4

Step  5  :

Dividing exponential expressions :

5.1    x2 divided by x4 = x(2 - 4) = x(-2) = 1/x2

Canceling Out :

5.2    Canceling out y as it appears on both sides of the fraction line

Final result :

   7

 ————

 15x2

Step-by-step explanation: