Question

Find the remainder when x4+x3_2 x2+x+1 is divided by x_1

Answer 1

Answer:2

Step-by-step explanation:

Answer 2

Answer:

2

Step-by-step explanation:

$\large \text{Given p(x)=x^4+x^3-2x^2+x+1 \ and \ g(x)=x-1 }\\\\\\\large \text{we have to find remainder}\\\\\\\large \text{putting g(x) value in p(x) we get remainder}\\\\\\\large \text{Zeroes of g(x)= x-1=0 }\\\\\\\large \text{So we get x = 1}\\\\\\\large \text{put in p(x)}$

$\large p(x)=x^4+x^3-2x^2+x+1 \\\\\\\large p(1)=1^4+1^3-2\times1^2+1+1 \\\\\\\large p(1)=1 +1 -2 +1+1 \\\\\\\large p(1)= 4-2\\\\\\\large p(1)= 2$

Thus we get remainder 2.