Question

When p(x)= x⁴+2x³-3x²+x -1 is divisible by (x- 2) ,the remainder is​

Answer 1

hope it helps you....to get your answer....

Answer 2

Correct question:

When p(x)= x⁴+2x³-3x²+x -1 is divided by (x- 2) ,the remainder is​

Answer:

The remainder obtained when  x⁴+2x³-3x²+x -1 is divided by (x-2) = 21

Step-by-step explanation:

Given

p(x)= x⁴+2x³-3x²+x -1 is divisible by (x-2)

To find,

The remainder when  x⁴+2x³-3x²+x -1 is divided by (x-2)

Recall the formula

Let p(x) be any polynomial and (x-a) be a linear polynomial,  then by the remainder theorem,  the remainder obtained when p(x) is divided by (x-a) is given by p(a)

Solution

Let p(x) = x⁴+2x³-3x²+x -1

Then by remainder theorem,

The remainder obtained when p(x) is divided by (x-2) is given by p(2)

p(2) = 2⁴+2×2³-3×2²+2 -1

= 16 + 16 - 12 +2 -1

= 21

∴The remainder obtained when  x⁴+2x³-3x²+x -1 is divided by (x-2) = 21

#SPJ3