SOLUTION: I have a couple...i just dont get this stuff! (x^3+2x+1)(2x^2-4x-5) and (x-2)(x+7)(2x+3)

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Question 118881: I have a couple...i just dont get this stuff!
(x^3+2x+1)(2x^2-4x-5)
and
(x-2)(x+7)(2x+3)

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
#1




Start with the given expression



Expand the expression. Remember for something like it expands to


Distribute


Multiply


Combine like terms



Now rearrange the terms in descending order


So expands and simplifies to .

In other words,




If you need more help with multiplying polynomials, check out this Long Multiplication Calculator








#2


Start with the given expression

-------------

First let's foil




Start with the given expression



Remember, when you FOIL an expression, you follow this procedure:


Multiply the First terms:


Multiply the Outer terms:


Multiply the Inner terms:


Multiply the Last terms:


Now collect every term to make a single expression



Now combine like terms



So foils and simplifies to



-----------------------


So our expression then becomes








Now let's multiply out

Start with the given expression



Expand the expression. Remember for something like it expands to


Distribute


Multiply


Combine like terms



Now rearrange the terms in descending order


So expands and simplifies to .

In other words,




If you need more help with multiplying polynomials, check out this Long Multiplication Calculator

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