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# What is relationship between multiplying polynomials and factoring?

## What is relationship between multiplying polynomials and factoring?

Factoring polynomials is the inverse process of multiplying polynomials. After factoring a polynomial, if we divide the polynomial with the factors then the remainder will be zero.

## What is the relationship between expanding and factoring mathematically?

Factoring an expression is the opposite of expanding it. Expanding an expression means removing the parenthesis or grouping symbols from it. Each expanded expression can be factored by removing the Greatest Common Factor (GCF) from each term.

What is the difference between factoring and distributing?

When distributing, you multiply a series of terms by a common factor. When factoring, you seek to find what a series of terms have in common and then take it away, dividing the common factor out from each term. Think of each term as a numerator and then find the same denominator for each. A common factor is 2.

### What is a multiplying factor in maths?

The numbers that we multiply are the factors of the product. Example: 3 × 5 = 15 therefore, 3 and 5 are the factors of 15. This also means: A factor divides a number completely without leaving any remainder. For example: 30 ÷ 6 = 5, and there is no remainder.

### What is multiplication factor in math?

The numbers to be multiplied are generally called the “factors”. The number to be multiplied is the “multiplicand”, and the number by which it is multiplied is the “multiplier”.

What is multiplication polynomial?

Polynomial multiplication is a process for multiplying together two or more polynomials. To multiply two polynomials with each other, take the terms of the first polynomial and distribute them over the second polynomial.

#### Are factoring and expanding the same?

Expanding an expression means removing the parentheses or other grouping symbols. Factoring an expression is the opposite of expanding an expression. It means finding the greatest common factor (GCF) of all the terms and then dividing each term by that factor.