How do you divide using Remainder Theorem?

Important Notes

1. When a polynomial a(x) is divided by a linear polynomial b(x) whose zero is x = k, the remainder is given by r = a(k)
2. The remainder theorem formula is: p(x) = (x-c)·q(x) + r(x).
3. The basic formula to check the division is: Dividend = (Divisor × Quotient) + Remainder.

How do you use Remainder Theorem?

Video quote: And basically all the remainder theorem says if you've got some polynomial f of X and you're dividing it by a linear factor that looks like X minus a it says if you do all that long division or

How do you divide a remainder step by step?

Video quote: Problem here for going into four seven seven now everything starts off exactly the same as your basic long division problem like we had in our first video you start going from left to right and ask

What is Remainder Theorem method?

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.

How do you do Synthetic Division and remainder theorem?

Video quote: And the basic idea behind the remainder theorem is that if you take a function f of X and if you divided by a linear factor like X minus C.

What is remainder theorem Class 9 formula?

Remainder theorem: Let p(x) be any polynomial of degree greater than or equal to one and let a be any real number. If p(x) is divided by the linear polynomial x – a, then the remainder is p(a).

What is remainder theorem Class 10?

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 ).

How do you find the remainder without dividing?

Video quote: You then take the integer. Part of this number and in our case it's 3 3 times the divisor 4 that gives us 12. You then take this number 12 and subtract it by the dividend.

What is the remainder of 825 is divided by 7?

6 is the remainder of this division.

What is the remainder when 8 25 divided by 77?

Remainder of (8 power 25) divided by 7 is 1.

How do you convert Remainders?

Video quote: I would say 1 with a remainder of 2 right so that's writing my remainder at the whole number. But this lesson is on writing my remainder as a decimal.

What is the remainder when 125 divided by 10 31?

By 10^31, then the Remainder is 0. 10^31 has 31 zeroes.

What is remainder when dividing 125?

factorial of 125 is 0, so when 0 /anything is zero, hence zero is the remainder.

What is the remainder when 21 is divided by 7?

R D Sharma – Mathematics 9



Solution – On performing divison of 21 by 7, the remainder left will be zero. The quotient will be 3.

What will be the remainder when 67 67 67?

Aptitude :: Numbers – Discussion



What will be remainder when (67⁶⁷ + 67) is divided by 68 ? Explanation: (xⁿ + 1) will be divisible by (x + 1) only when n is odd. (67⁶⁷ + 1) + 66, when divided by 68 will give 66 as remainder.

When 67th 67 is divided by 68 What is the remainder?

Shortcut Method:



= (67 + 67) = 134 should be divided by 68, so remainder would be 66.

What is the remainder when 7 103 divided by 25?

Hence remainder is 18.

What is the remainder when 17200 is divided by 18?

We know that, ( x^m – a^m ) is divisible by ( x + a ), for even value of m. ⇒ 17²⁰⁰ – 1 is divisible by 18. Hence when 17²⁰⁰ divided by 18 the remainder is 1.

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.

What is the remainder when 21 875 divided by 17?

The answer would be 13.

How do you find the remainder of 54 124 divided by 17?

R(54/17) = 3.

What is the remainder when 444444 written 100 times is divided by 7?

4444^4444 when divided by 7 leaves remainder 1.

What is the remainder when 128 1000 is divided 153?

Answer: the reminder when 1281000 is divided by 153 is 84.

What is the remainder when 153 into 698 is divided by 5?

Answer: 21219.2 uis the remainder when 152*689 is divided by 5… hope it helps u….