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Mathematics 21 Online
OpenStudy (anonymous):

25x^3+20x^2+4x

OpenStudy (anonymous):

I need to factor this

Parth (parthkohli):

Start by factoring the \(x\) out.\[x(25x^2 + 20x + 4)\]Now do you know how to factor quadratic expressions? :-)

OpenStudy (anonymous):

no

OpenStudy (anonymous):

can you help me?

Parth (parthkohli):

It's pretty... hard... to teach.

OpenStudy (anonymous):

I know I do the factors of 4, 1 and 4, 2 and 2, but they dont add to be 20

Parth (parthkohli):

No, first you multiply the coefficients of \(x^2\) and \(x^0\). Here they're \(25\) and \(4\)...

OpenStudy (anonymous):

so 100

Parth (parthkohli):

Yes. Now two numbers that add to \(20\) and their product is \(100\)?

OpenStudy (anonymous):

10 and 10

OpenStudy (anonymous):

so whats the next step

OpenStudy (raden):

25x^2+20x+4 this one can be factored: you need 2 numbers whose product is +4 and when these are combined with the factors of 25 add up to 20 5 * 2 = 10 2 * 5 = 10 10 + 10 = 20 maybe, it can be represented as : |dw:1359036694741:dw|

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