Question

Determine whether (x-1) is a factor of x⁴-x³+x²-1​

Answer 1

Answer:

x³ + x² + x + 1 Let x + 1 is a factor of given polynomial. Now, x + 1 = 0 x = -1 p(-1) = (-1)³ + (-1)² + (-1) + 1 = -1 + 1 - 1 + 1 = 2 - 2 = 0 Therefore, It is confirmed that x + 1 is a factor of x³ + x² + x + 1. (ii) x⁴ + x³ + x² + x + 1 Let x + 1 is a factor of given polynomial