What is the remainder when x to the power 1999 is divided by X Square 1?

since p(x) is a polynomial of degree 1999 so it will leave a linear remainder in form of ax+b where a and b are constants. so when x^1999 is divided by x^2-1 then it leaves remainder as x. option (3) is correct.

How do you find the remainder when dividing?

First, if a number is being divided by 10, then the remainder is just the last digit of that number. Similarly, if a number is being divided by 9, add each of the digits to each other until you are left with one number (e.g., 1164 becomes 12 which in turn becomes 3), which is the remainder.

What is the remainder when X²⁵ is divided by x 1?

Upon solving remainder shall be = -24 [upon solving , use common pattern trick to obtain the final answer]….

What is the remainder when x2007 is divided by x2 1?

= Multiple of x + 1. So required remainder is 1.

What is the remainder of 3 divided by 2?

We can write 3 divided by 2 as 3 / 2. As 3/ 2 is an improper fraction, so when we divide the 3 by 2, we’ll get 1 as quotient and 1 as remainder.

What is the answer for 2 divided by 2?

we are dividing the number 2 or 2 apples or 2 oranges into two equal parts . Each part consist of number 1 or 1 apple or 1 orange . so dividing 2 by 2 , or 2 apples by 2 , or 2 oranges by 2 is number 1 , or 1 apple , or 1 orange .

What is remainder math?

In mathematics, the remainder is the amount “left over” after performing some computation. In arithmetic, the remainder is the integer “left over” after dividing one integer by another to produce an integer quotient (integer division).

What is remainder theorem maths?

Remainder Theorem is an approach of Euclidean division of polynomials. According to this theorem, if we divide a polynomial P(x) by a factor ( x – a); that isn’t essentially an element of the polynomial; you will find a smaller polynomial along with a remainder.

What is the remainder when 25 is divided by x 1?

We get remainder ” 0 ” when : x25 – 1 is divided by ( x – 1 ) . Hope this information will clear your doubts about topic.

What is the degree of the polynomial x 1 x 2?

The degree of the polynomial is 3.

What is the remainder when 599 is divided by 9?

What is the remainder when 599 is divided by 9? The remainder is 5 . To calculate this, first divide 599 by 9 to get the largest multiple of 9 before 599. 5/9 < 1, so carry the 5 to the tens, 59/9 = 6 r 5, so carry the 5 to the digits. 59/9 = 6 r 5 again, so the largest multiple is 66.

What is the remainder of 4 divided by 32?

Divide the first number of the dividend, 4 by the divisor, 32. 4 divided by 32 is 0, with a remainder of 4. You can ignore the remainder for now. Put the 0 on top of the division bracket.

How do you find the remainder when dividing by 10?

First, if a number is being divided by 10, then the remainder is just the last digit of that number. Similarly, if a number is being divided by 9, add each of the digits to each other until you are left with one number (e.g., 1164 becomes 12 which in turn becomes 3), which is the remainder.

What is the remainder when 821 is divided by 4?

There are 3 ways of writing a remainder: with an R, as a fraction, and as a decimal. For example, 821 divided by 4 would be written as 205 R 1 in the first case, 205 1 / 4 in the second, and 205.25 in the third. What is the remainder when 26 is divided by 6?