# How do you find the values of A and B in a polynomial?

Table of Contents

- 1 How do you find the values of A and B in a polynomial?
- 2 How do you find the quotient and remainder of a polynomial?
- 3 What is the relation between the remainder when a polynomial in x is divided by a binomial of the form XR?
- 4 What do you called to the shorter procedure when a polynomial is to be divided by a binomial of the form XR )?
- 5 What is remainder theorem in math?
- 6 What is long division of polynomials?

## How do you find the values of A and B in a polynomial?

Important point: If a polynomial p(x) is divided by x – a, then the remainder is p(a). In particular, if x – a is a factor, then p(a) = 0. In our example, f(-3) = 0 and f(2) = 15. Solving these we find a = 3 and b = 8.

## How do you find the quotient and remainder of a polynomial?

The quotient and remainder can then be determined as follows:

- Divide the first term of the dividend by the highest term of the divisor (meaning the one with the highest power of x, which in this case is x).
- Multiply the divisor by the result just obtained (the first term of the eventual quotient).

**What are the 2 methods to divide polynomials?**

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

**How do you divide polynomial fractions?**

Steps for dividing polynomial fractions

- Factor each the numerators and denominators of all fractions completely.
- Reciprocal the fraction which appears after the division sign and changes it into multiplication sign.
- Cancel or reduce the fractions.
- Rewrite the remaining factor.

### What is the relation between the remainder when a polynomial in x is divided by a binomial of the form XR?

The remainder theorem simply states that if a polynomial f(x) is divided by a linear expression x-r, the value of f(r) is equal to the remainder.

### What do you called to the shorter procedure when a polynomial is to be divided by a binomial of the form XR )?

Synthetic division

Synthetic division is another way to divide a polynomial by the binomial x – c , where c is a constant. Step 1: Set up the synthetic division.

**What is the remainder when a polynomial is divided by x^2 – 5?**

When a polynomial f (x) is divided by x^2 – 5 the quotient is x^2 – 2x – 3 and remainder is zero. Find the polynomial and all its zeroes.

**How does the dividing polynomials calculator work?**

The dividing polynomials calculator first displays the special format of the given values. Then, it provides the result table, quotient, and remainder for given polynomials.

## What is remainder theorem in math?

Remainder Theorem is used that when a polynomial f (x) is divided by a linear factor in the form of x-a. Go through the following steps and use them while solving the remainder of a polynomial expression in fraction of seconds.

## What is long division of polynomials?

In algebra, long division of polynomials is an algorithm for dividing the polynomial, where a polynomial divide by the other polynomial of the same or lower degree. Therefore the generalized version of the familiar arithmetic method is called long division polynomials.