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Home >> Polynomials >> Algebraic Expression >> Terms of Algebraic Expression >> Factors of Term >>

Factors of Term

Like Terms Unlike Terms Factors of Term

Before you study this concept, you are advice of read:

What are constants ?
What are Variables ?
What are Terms of an Algebraic Expression ?

Factors of the term are a combination of it constant and variables

E.g. In the following algebraic expression:
(10pq + 4p2 - q3)

Firstly let's find the terms of the given algebraic expression and we get:
First Term = 10pq
Second Term = 4p2
Third Term = (- q3)

And, we find constants and variable in each of the term and we get:
First Term = 10, p & q
Second Term = 4, p & p (because p has a power of 2, so it's repeated two times)
Third Term = - q, -q & -q (because -q has a power of 3, so it's repeated three times)

Now, as per the definition, which say that factors of the Term are combination of its constants and variable; we get factors of the three terms as:
Factors of First Term = 10, p & q
Factor of Second Term = 4, p & p
Factors of Third Term = - q, -q & -q

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