# How do you explain Remainder Theorem?

Space and AstronomyRemainder Theorem is **a way of addressing Euclidean’s division of polynomials**. It 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).

## Can you explain me the remainder theorem?

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 theorem in simple terms?

The remainder theorem states that **when a polynomial, f(x), is divided by a linear polynomial , x – a, the remainder of that division will be equivalent to f(a)**.

## Can you explain why the remainder theorem works?

The remainder theorem is a close cousin of the factor theorem, and says that **when you divide by , the remainder you get is** . Notice that this fits perfectly well with the factor theorem: if the remainder when you divide by something is zero, what you divided by is a factor!

## How do you answer the remainder theorem?

Video quote: *If you want to find the remainder. When you divide by X minus 4 it says just plug 4 in. So we get 3 times 4 cubed. Minus 2 times 4 squared. Plus 4 minus 6. Let's see 4 cubed is a 64.*

## What is remainder theorem in Class 9?

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). Proof: Let p(x) be any polynomial with degree greater than or equal to 1.

## How do you introduce a remainder theorem?

Video quote: *So this statement of factor theorem is if the rational integral function f of X is divided by X minus a then the remainder is f of a is equal to 0. And X minus a is a factor of f of X.*

## 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 .

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