## What are the two methods of dividing polynomials?

There are two methods in mathematics for dividing polynomials. These are the long division and the synthetic method.

## Are the steps in dividing polynomials helpful Why?

Answer. Answer: Yes, so we can understand the process of solving and we can find the exact answer.

## What is the quotient in the remainder theorem?

A= B * Q + R where 0 ≤ R < B When we divide A by B in long division, Q is the quotient and R is the remainder.

## What is Remainder Theorem Class 9 formula?

The remainder theorem states that when a polynomial f(x) is divided by a linear polynomial (x−a) 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. ∴7=2×3+1. ∴f(x)÷d(x)=q(x) with a remainder r(x).

## What is meant by Remainder Theorem?

: a theorem in algebra: if f(x) is a polynomial in x then the remainder on dividing f(x) by x − a is f(a)

## Why is the remainder theorem important?

The Polynomial Remainder Theorem allows us to determine whether a linear expression is a factor of a polynomial expression easily.

## How do you do remainder and factor theorem?

Remainder Theorem and Factor Theorem

1. f(x) ÷ d(x) = q(x) with a remainder of r(x)
2. f(x) = (x−c)·q(x) + r(x)
3. f(x) = (x−c)·q(x) + r.

## What does the factor theorem tell us?

The proof of The Factor Theorem is a consequence of what we already know. If (x−c) is a factor of p(x), this means p(x)=(x−c)q(x) for some polynomial q. Of the things The Factor Theorem tells us, the most pragmatic is that we had better find a more efficient way to divide polynomials by quantities of the form x−c.

## What is the meaning of factor theorem?

In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem. The factor theorem states that a polynomial has a factor if and only if (i.e. is a root).