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Mathematics 20 Online
OpenStudy (anonymous):

square binomial of x2 - 6x + 9

OpenStudy (lgbasallote):

do you have a guess or something?

OpenStudy (anonymous):

you mean factor?

OpenStudy (anonymous):

(x+___)(x+___) fill in with factors of 9, which when we add, we get -6.

OpenStudy (anonymous):

yes factor

OpenStudy (anonymous):

clue, they are both negative, since the sum is negative as well ( in this case -6).

OpenStudy (anonymous):

(x-3) (x+3) ?

OpenStudy (anonymous):

almost.

OpenStudy (anonymous):

note, -3 times 3 is not +9.

OpenStudy (anonymous):

similarly, -3 + 3 = 0, we need a sum of -6, you may try it again though. you can do it janirish!:)

OpenStudy (anonymous):

(x + 3) (x - 3 )

OpenStudy (anonymous):

sorry, not quite. (x-3) was right.

OpenStudy (anonymous):

to know what to put on the other blank, we can just divide 9/-3 = _____?

OpenStudy (anonymous):

(x-3) (x-3)

OpenStudy (anonymous):

you got it!:)

OpenStudy (anonymous):

or you can type it as (x-3)^2, right? :)

OpenStudy (theviper):

\[\Huge{x^2-6x+9}\]\[\LARGE{\implies x^2-3x-3x+9}\]\[\LARGE{\implies x(x-3)-3(x-3)=??}\]

OpenStudy (anonymous):

yes, that process is also correct TheViper!:)

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