What is the remainder theorem example?

What is the remainder theorem example?

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. For example: if f(a) = a3-12a2-42 is divided by (a-3) then the quotient will be a2-9a-27 and the remainder is -123.

What is the remainder when 51 is divided by 61?

Therefore, the remainder is 27.

What is remainder theorem Class 9 formula?

The remainder theorem states that when a polynomial f(x) is divided by a linear polynomial \[\left( x-a \right)\] then the remainder of that division will be equal to f(a). 7 divided by 2 equals 3 with remainder 1, where 7 is dividend, 2 is divisor, 3 is quotient and 1 is remainder.

What is the remainder when 17 200 is divided 18?

(17200 – 1) is completely divisible by 18. On dividing 17200 by 18, we get 1 as remainder.

What is factor theorem with example?

Answer: An example of factor theorem can be the factorization of 6×2 + 17x + 5 by splitting the middle term. In this example, one can find two numbers, ‘p’ and ‘q’ in a way such that, p + q = 17 and pq = 6 x 5 = 30. After that one can get the factors.

What is remainder theorem for Class 10?

According to the remainder theorem, if is divided by then, the remainder is given by, If is divided by , then the remainder is given by, Hence, a polynomial when divided by leaves a remainder 3 and when divided by leaves a remainder 1. Then if the polynomial is divided by , it leaves a remainder .

What is the remainder when 67 is divided by 71?

Originally Answered: What’s the remainder of (67 !) divided by 71? as is a prime number. Therefore, the remainder is 12.

What is the remainder when 32 32 divided by 7?

4
Answer: The remainder when 323232 32 32 32 is divided by 7 is 4.

What is Remainder Theorem math?

The Remainder Theorem Definition states that when a polynomial is p ( a ) is divided by another binomial ( a – x ), then the remainder of the end result that is obtained is p ( x ).

What is the remainder when 4 1000 divided by 7?

Hence when (4)1000 is divided by 7 the remainder is 4.

What is the remainder when 17 23 divided by 16?

So, we get remainder 1, for all the exponents we take for 17. Therefore, when 1723 is divided by 16, the remainder will be 1.

Which is the formula for the remainder theorem?

Remainder Theorem states that “If p (x) is any polynomial of degree greater than or equal to one and is divided by the linear polynomial (x – a) where ‘a’ is any real number, then the remainder is p (a).” Remainder Theorem formula is given by the expression: p (x) = (x-a) q (x) + r (x) Let us look at the statement to prove the Remainder Theorem.

How to find the remainder of a polynomial?

Find the remainder when the polynomial x 3 – 2x 2 + x+1 is divided by x – 1. p (x) = x 3 – 2x 2 + x + 1 Equate the divisor to 0 to get; Substitute the value of x into the polynomial. ⟹ p (1) = (1) 3 – 2 (1) 2 + 1 + 1 Therefore, the remainder is 2.

Which is the remainder of the division process?

According to the Remainder Theorem, when a polynomial, f (x), is divided by a linear polynomial, x – a the remainder of the division process is equivalent to f (a). How to use the Remainder Theorem? Let’s see a few examples below to learn how to use the Remainder Theorem. Find the remainder when the polynomial x 3 – 2x 2 + x+1 is divided by x – 1.

Which is the remainder of the divisor of X?

The Remainder Theorem states that. If a polynomial f(x) is divided by a linear divisor (x – a), the remainder is f(a) Hence, when the divisor is linear, the remainder can be found by using the Remainder Theorem.