Question

find the remainder,if the polynomial x⁴+x³-3x²+3x+1 is divided by following linear expression: (i) x-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