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In math, factor is a verb and is usually stated as 'to factor'. To factor something basically means to derive the smaller units that when multiplied together will equal that something. Some times it becomes a trial and error exercise.

To factor the number twelve (12) you would consider what numbers multiplied together equal 12. Such as (12x1, 6x2, 4x3, 3x4, 2x6, 1x12) are all factors of the number twelve. The reverse sets (3x4 is the reverse set of 4x3) are used in more advanced areas of math such as Algebra.

To factor the Algebraic expression: x² + x -12

Determine what expressions when multiplied together equal that expression.

In Algebra you learn the two expressions ( _ + _ )( _ +_ ) are the keys in this case.

First determine the coefficients (any constants in the expression):

The constant of x² is 1, the constant of x is 1 and lastly -12 is a constant.

The factor of the 1 constants are 1 because the only numbers that when multiplied together to equal one are 1s (1 times 1 = 1). The factors of -12 are

-12 times 1, -1 times 12, -6 times 2, -2 times 6, -4 times 3, -3 times 4

Next determine the variable factors:

The factors of x² are x times x, factors of x are x times 1.

Now substitute those here: ( _ + _ )( _ + _ )

Which will end up being: [x = (-3)](x+4) which simplifies to (x-3)(x+4).

Multiplying these two factors will demonstrate why (-3,4) are the factors of -12 used.

To multiply (x-3)(x+4), first you take the first quantity in the first expression (x) and multiply it times the first quantity in the second expression, also (x)

so x times x equals x²

giving x²

Then multiply the first quantity in the first expression (x) times the second quantity in the second expression (4) so x times 4 equals 4x

giving x² + 4x

Then multiply the second quantity in the first expression (-3) times the first quantity in the second expression (x) so -3 times x equals -3x

giving x² +4x -3x

Then multiply the second quantity in the first expression (-3) times the second quantity in the second expression (4) so (-3) times 4 equals -12

giving x² +4x -3x -12 which simplifies to x² +x -12

So your factors are (x-3)(x+4)

By some quick calculations you will find that the (-3) and (4) are the only factors of -12 that will work in this expression. The rule of thumb in this circumstance is determine the factors of -12 that when multiplied together will equal -12 and when combined will equal the coefficient of the middle term which in this case is 1. (x can be stated as 1 times x for such exercises which would make the initial expression look like 1x² + 1x -12.

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Q: In maths what does the word factor mean?

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The GCF is 19.

A common factor of several numbers is a number that can divide evenly into each one of them. '10' is a common factor of 20 and 30. '5' is a common factor of 10 and 15. '3' is a common factor of 6, 9, and 12. '2' is a common factor of all even numbers. '1' is a common factor of all whole numbers.

a number that can go into another number.

A factor tree (two words) is a chart that notates the process of prime factorization.

The range is the smallest subtract the biggest Lol

Related questions

The derivation of "factor" is from Latin, through French and Middle English.

its a shape

it mean have to divide it i think

it means a type of number that equals something

A multiple in a nmber

The word "quad" mean four (4).

@MikeyBoi1993 ----->> follow him on twitter he will tell you the answer!

Nothing, since decompisition is not a real word! What decomposition means depends on the context, which you have not provided: "maths" is not enough.

The word 'plus' implies the process of addition.

close to the actual, but not completely accurate or exact

one thousand or one thousandth

it means lowest common multiple. the opposite to it is hcf or highest common factor ^_^

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