Question

16. Find a remainder of p(x)=
X2-2x-5
1 point
O A)-5
B) -13
O CO
D)5​

Answer 1

Answer:

Remainder = 0

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 ;

x² - 2x + 1 .

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

Let the given polynomial be p(x) .

Thus,

p(x) = x² - 2x + 1

Thus,

The remainder , R obtained on dividing p(x) by (x - 1) will be given by p(1) .

Thus,

=> R = p(1)

=> R = 1² - 2•1 + 1

=> R = 1 - 2 + 1

=> R = 2 - 2

=> R = 0

Hence,

The required answer is 0 .