Question

(2x^4-5x^3+3x-1)/2x-1

Answer 1

Answer:

x^3-2x^2-x+1

Step-by-step explanation:

(2x^4 - 5x^3 + 3x - 1) / (2x-1)

= (2x^4 - x^3 - 4 x^3 + 2x^2 - 2x^2 + x +2x - 1)/(2x-1)

= x^3 (2x-1) - 2x^2 (2x-1) - x(2x-1) + (2x-1) / (2x-1)

= (2x-1)(x^3-2x^2-x+1)/(2x-1)

=x^3-2x^2-x+1