Question

By Remainder theorem,find the remainder if x⁴+x³-2x²+x-1 is divided by x-1

It would mean a lot if you can solve this problem and help me:v homies come on and try​

Answer 1

Answer:

Step-by-step explanation:

p(x) = x⁴+ x³-2x²+ x + 1

By Remainder Theorem :

x - 1 = 0

x = 1

p(x) = x⁴+ x³-2x²+ x + 1

p(1) = (1)⁴ + (1)³ - 2(1)² + (1) +1

p(1) = 1 + 1 - 2 + 1

p(1) = 3 - 2

p(1) = 1

Remainder = 1

Answer 2

Answer:

Remainder is 0

Step-by-step explanation:

Let P(x) = x⁴ + x³ - 2 x² + x -1

zero of (x - 1) is 1

By remainder thm

P(1) = (1)⁴ + (1)³ - 2 (1)² + (1) - 1

     = 1 + 1 - 2 + 1 - 1

     = 0

∴ Remainder = P(1) = 0