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Mathematics 16 Online
OpenStudy (anonymous):

Factor completely. 3x^3 + 9x^2 + x + 3

OpenStudy (atlas):

There are many beautiful ways of solving this

OpenStudy (atlas):

What is the constant value in this expression?

OpenStudy (anonymous):

x

OpenStudy (atlas):

oh no x is a variable...............I meant to ask that there are 4 terms in this expression 3x^3,9x^2, x and 3........which is constant among them

OpenStudy (anonymous):

the 3

OpenStudy (anonymous):

(x+3)^2(x-3)

OpenStudy (atlas):

yup.......now find all the factors of 3

OpenStudy (anonymous):

9? idk any of this........ math is awful for me

OpenStudy (atlas):

oh no have patience............factors of 3 are those numbers which when multiplied by some number will give 3

OpenStudy (anonymous):

there are none are there? i would think that it's x maybe

OpenStudy (atlas):

1 X 3 =3 So 3 and 1 are factors of 3

OpenStudy (anonymous):

yes

OpenStudy (atlas):

Similarly -1X-3 =3 so -1 and -3 are factors of 3

OpenStudy (atlas):

So you have 4 factors of 3 : +1, -1,+3 and -3

OpenStudy (atlas):

Now try putting x =1 in the above expression and see if you get 0

OpenStudy (anonymous):

in where the x is

OpenStudy (atlas):

yeah

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