A factor is a quantity multiplied with others: one of two or more numbers or quantities that can be multiplied together to give a particular number or quantity 3 and 5 are factors of 15.
Expansion is when you have a algebraic expression example 2x(x+2)and you are able to remove the brackets by multiplying everything inside the brackets with each term inside the brackets.
EXPLAINING FACTORIZATION AND EXPANSION USING EXAMPLES:
Factorize 16x + 8... - to factorize this expression you need to first identify what the two terms have in common. - both are divisible by 8. - we therefore pull 8 out of the terms...i.e. divide by 8...in doing so we put the divided terms into brackets (since they are both common in the sense that they were both divided by 8) and indicate so by pulling the 8 out of bracket.
8(2x + 1)
Expansion however is the opposite...its where you take an already factorized term and...well...expand it...what you're basically trying to do is get rid of the brackets.
e.g - 8(2x + 1) - to expand you multiply the 8 by all terms in the bracket
factorization is when one seeks out all common terms in an expression and place the other terms in brackets, e.g. 10xsquared + 14x...the common terms in this expression is 2x because 10 and 14 are both divisible by 2..so this expression when factorized would be 2x(10x+7)
factorization is defining all common terms of an object that are exactly divisable (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original. example, the number 15 factors into primes as 3 × 5, and the polynomial x2 − 4 factors as (x − 2)(x + 2).
Factorization includes the use of brackets. This process is done by collecting all the common terms of an expression or equation an placing it outside the brackets and the remaining of the expression or quation is placed within the brackets. i.e when the expression or equation is worked the original should be obtained
Expansion can be thought of as the reverse process of factorization where you are making the condensed or simpler form of the expression back into its coplex form.
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ReplyDeleteA factor is a quantity multiplied with others: one of two or more numbers or quantities that can be multiplied together to give a particular number or quantity
ReplyDelete3 and 5 are factors of 15.
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ReplyDeleteheay i need some help with this:
ReplyDeletehow do i factor this polynomial:
x^2-20X=100
whats the steps to solution
is where you express algebraic expression a s a product of some of their factors and inserting brackets.
ReplyDeleteI do not think that there is anything such as good factorization. Once there is a common term it can be factorized.
ReplyDeleteExpansion is when you have a algebraic expression example 2x(x+2)and you are able to remove the brackets by multiplying everything inside the brackets with each term inside the brackets.
ReplyDeleteEXPLAINING FACTORIZATION AND EXPANSION USING EXAMPLES:
ReplyDeleteFactorize 16x + 8...
- to factorize this expression you need to first identify what the two terms have in common.
- both are divisible by 8.
- we therefore pull 8 out of the terms...i.e. divide by 8...in doing so we put the divided terms into brackets (since they are both common in the sense that they were both divided by 8) and indicate so by pulling the 8 out of bracket.
8(2x + 1)
Expansion however is the opposite...its where you take an already factorized term and...well...expand it...what you're basically trying to do is get rid of the brackets.
e.g - 8(2x + 1)
- to expand you multiply the 8 by all terms in the bracket
i.e - [8 x 2x] + [8 x 1]
giving you 16x + 8
factorization is when one seeks out all common terms in an expression and place the other terms in brackets, e.g. 10xsquared + 14x...the common terms in this expression is 2x because 10 and 14 are both divisible by 2..so this expression when factorized would be 2x(10x+7)
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ReplyDeleteExpansion can be demonstrated in the real world in the to find the coeeficent of metals which is essential .
ReplyDeleteFactorization is the resolution of an entity into factors such that when multiplied together they give the original entity.
ReplyDeletefactorization is defining all common terms of an object that are exactly divisable (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.
ReplyDeleteexample, the number 15 factors into primes as 3 × 5, and the polynomial x2 − 4 factors as (x − 2)(x + 2).
Factorization includes the use of brackets. This process is done by collecting all the common terms of an expression or equation an placing it outside the brackets and the remaining of the expression or quation is placed within the brackets.
ReplyDeletei.e when the expression or equation is worked the original should be obtained
e.g 4x+x
=x(4+1)
factorization is good in the sense that it helps you see a comlex equation in simpler form
ReplyDeleteExpansion can be thought of as the reverse process of factorization where you are making the condensed or simpler form of the expression back into its coplex form.
ReplyDeletee.g.(x+4)(2x+1)=2x^2+8x+4