Question

find the reminder when x³+x²+x+1 is divided by x-1÷2 using teminder theorem​

Answer 1

Read about remainder theorm and go through below solutio

Answer 2

$\huge \boxed{ \sf \blue{ \frac{15}{8} }}$

Step-by-step explanation:

Given -

polynomial p(x) = x³ + x² + x + 1

divided by g(x) = x - 1/2

.

To find -

The remainder r(x)

.

Solution -

.

Using the remainder theorem,

g(x)

x - 1/2 = 0

=> x = 1/2

.

put the value of x in p(x)

x³ + x² + x + 1

${( \frac{1}{2}) }^{3} + {( \frac{1}{2}) }^{2} + \frac{1}{2} + 1 \\ \\ = > \frac{1}{8} + \frac{1}{4} + \frac{1}{2} + 1 \\ \\ = > \frac{1 + 2 + 4 + 8}{8} \\ \\ = > \frac{15}{8}$

Hence the remainder will be 15/8.

hope it helps.