Factorization of Polynomials – How do we find the factors of a polynomial?

# Factorization of Polynomials – How do we find the factors of a polynomial?

Class 7 algebraic expression | Factorization of Polynomials

Fill Out the Form for Expert Academic Guidance!

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

• Factorization of Polynomials
• Zero of a polynomial
• Summary
• What’s Next?

In the previous segment, we learnt how to find the factors of a number. In this segment, we will learn about the factorization of a polynomial.

## How do we find the factors of a polynomial?

If a polynomial can be written as a product of two polynomials, then these polynomials are known as the factors of the original polynomial.

Each factor of a polynomial shows the following characteristics:

• The degree will be less than the degree of the polynomial.
• It cannot be factorized further.

For example, Consider ?2 + 3? + 2.

?2 + 3? + 2 = (x+1)(x+2)

Thus, (x+1) and (x+2) are the factors of (?2 + 3? + 2

• (x+1) and (x+2) have degree 1, which is less than that of the polynomial which has degree 2.
• (x + 1) and (x+2) are in the simplest form and cannot be factorised further.

## What are Zeroes of a polynomial?

• Zero of a polynomial is a number when substituted in place of the variable gives the value of the polynomial equal to zero.
• In some cases, factorization helps to get the zeroes of the polynomial.

For example,

(x+1) and (x+2) are the factors of ?2 + 3? + 2

The opposite of the numbers +1 and +2 are -1 and -2 respectively. Thus, the zeroes of the polynomial ?2 + 3? + 2 are -1 and -2.

These two numbers are called the zeroes of the polynomial. Substituting either of these values in ?2 + 3? + 2 will give zero.

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)