Question

What is the remainder when x³¹+31 is divided by (x+1)?​

Answer 1

Answer:

Remainder = 30

Note:

★ Remainder theorem : If a polynomial p(x) is divided by (x - a) , then the remainder obtained is given by p(a) .

Solution:

Here,

The given polynomial is ;

x³¹ + 31

Let the given polynomial be p(x) .

Thus,

p(x) = x³¹ + 31

We need to find the remainder when the given polynomial p(x) is divided by (x + 1) .

Now ,

If x + 1 = 0 , then

x = -1

Thus,

The remainder will be given as ;

=> R = p(-1)

=> R = (-1)³¹ + 31

=> R = -1 + 31

=> R = 30

Hence,

Remainder = 30