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Mathematics 15 Online
OpenStudy (anonymous):

Which of the binomials below is a factor of this trinomial? x2 - 8x - 48

HanAkoSolo (jamierox4ev3r):

what are the binomials?

OpenStudy (anonymous):

x2 - 8x - 48

HanAkoSolo (jamierox4ev3r):

so then what is the trinomial?

OpenStudy (anonymous):

Idk

HanAkoSolo (jamierox4ev3r):

what you listed is a trinomial becuase 2x , -8x, and -48 are all nomials, and because there are three it is a trinomial

HanAkoSolo (jamierox4ev3r):

therefore, a possible factor for that trinomial could be 2 becuase it can go into all of the nomials and it also possess no variable because the last nomial has no variable

OpenStudy (marissalovescats):

You lost her.

HanAkoSolo (jamierox4ev3r):

yeah probably

OpenStudy (texaschic101):

(x - 12)(x + 4)

OpenStudy (mww):

The answers are (x - 12) and (x+4) Multiply them out to confirm. To do this you find two numbers that multiply to the constant: -48 and two numbers that add to the coefficient of the term in x (-8) and these happen to be -12 and 4, which as you see are in the brackets. This only works if the coefficient of x^2 is 1. Otherwise, you find 2 numbers that multiply to the product of coefficient of x^2 and the constant and also add to the coefficient of the term in x, split the middle term with these two numbers then apply grouping in pairs factoring.

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