FACTORIZES Meaning and
Definition
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Factorizes is a verb that refers to the process of decomposing a mathematical expression, especially a polynomial, into its constituent factors. When an expression is factorized, it is broken down into its smallest possible factors. This process is widely used in algebra and is a fundamental step in many mathematical calculations.
Factorizing often involves finding the prime factors of a number or breaking down a polynomial expression into its irreducible factors. By finding the factors of an expression, mathematicians are able to simplify complex equations, solve equations, and identify important characteristics of the original expression.
Factorizing an expression requires identifying common factors and using various algebraic techniques such as factoring by grouping, factoring the difference of squares, or factoring the sum or difference of cubes. By applying these methods, mathematicians can find the unique factors of an expression and simplify it further.
The process of factorizing is essential in mathematics as it helps gain insight into the structure, behavior, and properties of expressions. It is a vital tool in algebraic manipulation, simplification, and solving equations. Factorizing expressions allows for greater understanding and ease of computation in various mathematical applications.
Common Misspellings for FACTORIZES
Etymology of FACTORIZES
The word "factorizes" is derived from the noun "factor" combined with the suffix "-ize".
The noun "factor" comes from the Latin word "facere", which means "to do" or "to make". It has also been influenced by the Latin word "factor", meaning "maker" or "doer". In mathematics, a factor refers to a number or expression that divides another number or expression without leaving a remainder.
The suffix "-ize" is of Greek origin, specifically from the Greek verb-forming element "-izein". It is used to form verbs that indicate an action, process, or state. When combined with "factor", it forms the verb "factorize", which means the action of finding the factors of a number or expression.
Therefore, the word "factorizes" is formed by combining these components and signifies the action or process of finding the factors of something.
Conjugate verb Factorizes
CONDITIONAL
I
would factorize
we
would factorize
you
would factorize
he/she/it
would factorize
they
would factorize
FUTURE
I
will factorize
we
will factorize
you
will factorize
he/she/it
will factorize
they
will factorize
FUTURE PERFECT
I
will have factorized
we
will have factorized
you
will have factorized
he/she/it
will have factorized
they
will have factorized
PAST
I
factorized
we
factorized
you
factorized
he/she/it
factorized
they
factorized
PAST PERFECT
I
had factorized
we
had factorized
you
had factorized
he/she/it
had factorized
they
had factorized
PRESENT
I
factorize
we
factorize
you
factorize
he/she/it
factorizes
they
factorize
PRESENT PERFECT
I
have factorized
we
have factorized
you
have factorized
he/she/it
has factorized
they
have factorized
I
am factorizing
we
are factorizing
you
are factorizing
he/she/it
is factorizing
they
are factorizing
I
was factorizing
we
were factorizing
you
were factorizing
he/she/it
was factorizing
they
were factorizing
I
will be factorizing
we
will be factorizing
you
will be factorizing
he/she/it
will be factorizing
they
will be factorizing
I
have been factorizing
we
have been factorizing
you
have been factorizing
he/she/it
has been factorizing
they
have been factorizing
I
had been factorizing
we
had been factorizing
you
had been factorizing
he/she/it
had been factorizing
they
had been factorizing
I
will have been factorizing
we
will have been factorizing
you
will have been factorizing
he/she/it
will have been factorizing
they
will have been factorizing
I
would have factorized
we
would have factorized
you
would have factorized
he/she/it
would have factorized
they
would have factorized
I
would be factorizing
we
would be factorizing
you
would be factorizing
he/she/it
would be factorizing
they
would be factorizing
I
would have been factorizing
we
would have been factorizing
you
would have been factorizing
he/she/it
would have been factorizing
they
would have been factorizing
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