What is the remainder when x^4– x^2 is divided by x - 1?

Question

Help please its not 1

Answer 1

Factor x⁴ - x² as a difference of squares.

 

x⁴ - x² = (x² - x)(x² + x) = x²(x - 1)(x + 1)

 

Therefore,

 

(x⁴ - x²) / (x - 1) = [x²(x - 1)(x + 1)] / (x - 1) = x²(x + 1)

 

There is no remainder.