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Mathematics 13 Online
OpenStudy (anonymous):

Explain how the polynomial is factored. x2 + 24x + 144

OpenStudy (karatechopper):

Ok! so first i just wanna know what grade and how old u are so i can explain easier?

OpenStudy (anonymous):

I'm in the 12th grade.. 17 years old.

OpenStudy (karatechopper):

Alright! ok so here....first we need to set up our parenthesis

OpenStudy (karatechopper):

( )( )

OpenStudy (karatechopper):

Then, let me aask you this. What is the square root of x2

OpenStudy (karatechopper):

Hello?

OpenStudy (anonymous):

I don't know..

OpenStudy (karatechopper):

square root of x2 is x:) so we put one x in each of the parentheses

OpenStudy (karatechopper):

(x )(x )

OpenStudy (karatechopper):

Now, do you know any factors of 144 that add to be 24?

OpenStudy (anonymous):

12

OpenStudy (karatechopper):

yep!

OpenStudy (karatechopper):

and since all of the sings are plus signs...we factor it to look like this : (x+12)(x+12)

OpenStudy (anonymous):

So, the only two factors are (x+12)(x+12)?

OpenStudy (karatechopper):

yep

OpenStudy (anonymous):

Oh, ok, thanks!

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