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Mathematics 17 Online
OpenStudy (anonymous):

Algebra 2 help please

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

The volume in cubic feet of a box can be expressed as V(x) = x^3 - 6x^2 + 8x, or as the product of three linear factors with integer coefficients. The width of the box is 2 – x.Factor the polynomial to find linear expressions for the height and the width. Show steps please

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

x^3 - 6x^2 + 8x x(x^2-6x+8) x(2-x)( ??? )

jimthompson5910 (jim_thompson5910):

what goes in place of the ( ??? )

OpenStudy (anonymous):

@jim_thompson5910 -6x + 8?

jimthompson5910 (jim_thompson5910):

not quite

jimthompson5910 (jim_thompson5910):

what two numbers multiply to 8 and add to -6

OpenStudy (anonymous):

what??? what two numbers multiply to 8 and add to -6???? thats is confusing i dont understand the way you worded it

jimthompson5910 (jim_thompson5910):

list the factors of 8

OpenStudy (anonymous):

4 and 2

OpenStudy (anonymous):

so the second part of step 3 is??

OpenStudy (anonymous):

x(2-x)(???)

OpenStudy (anonymous):

(8-6)???

jimthompson5910 (jim_thompson5910):

so we get (2-x)(4-x) which means that the missing part is (4-x)

jimthompson5910 (jim_thompson5910):

the complete factorization is x(2-x)(4-x)

OpenStudy (anonymous):

umm how do i factor these

jimthompson5910 (jim_thompson5910):

it's already factored

jimthompson5910 (jim_thompson5910):

x^3 - 6x^2 + 8x factors to x(2-x)(4-x)

OpenStudy (anonymous):

yea im not understanding i dont even see how we got x(2-x)(4-x)

jimthompson5910 (jim_thompson5910):

x^3 - 6x^2 + 8x x(x^2-6x+8) we then factor x^2-6x+8 into (2-x)(4-x) and this means x^3 - 6x^2 + 8x factors to x(2-x)(4-x)

OpenStudy (anonymous):

yep nope im still confussed

OpenStudy (anonymous):

i guess ill come back to this

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