Factorization into Monomials
Factorization into Monomials
Factors An algebraic expressions is a product of numbers or algebraic terms, then each of these numbers and terms are called the factors of the given algebraic expression and the algebraic expression is called the product of these terms.
Factorization When an algebraic expression is written as the product of two or more factors is called Factorization.
Factorization into Monomials:
Factorization into monomial means that expressing a algebraic expression as product of monomials.
Illustration: All possible factors of are
Solution: The algebraic expression can be represented as.
Thus, the possible factors of are
Greatest Common Factor ( GCF ) or Highest Common Factor ( HCF )
The greatest common factor of given monomials is the common factor having greatest coefficient and highest power of the variables. To find the GCF of two or more monomials the following step are to be performed .
Illustration: Find the GCF of three monomials and 15xy.
Solution: The GCF of three monomials and 15xy can be clculated as
Greatest common numerical coefficient is 3
Find the greatest common factor of the following polynomials: | |||
| Right Option : B | |||
| View Explanation | |||
Express the expression into factors | |||
| Right Option : A | |||
| View Explanation | |||
Find the greatest common factor of the following polynomials: | |||
| Right Option : D | |||
| View Explanation | |||
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