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to factor means to under multiplication

I know I have to find the GCF first
then the same with the exponent

err... thats a cubic lol; math notation helps

2x cubed-8x squared-9x+ 36 notates to:
2^3 -8x^2 -9x +36

lol...i didnt know how to type it in here

first group them; and see if it wroks...
\[(2x^3-8x^2)+(-9x+36)\]

what can we factor out of the first part?

2?

2x^2 (x -4) ; is what i get do you see why?

2 is part of it; but they also have some 'x's in common right?

yes and it would b 2x^2
right?

(2xxx - 8xx) have what in common:
2xx (x-4)

then you mult.?

they both have at least XX

then we see what the other part factors to..
(-9x +36) factor to what?

do u divide?
woiuld it b 4x?

you do the same process as you did in the firs part ..... nothing new is happening here.

lets say its 4x and test that:
4x* ? = -9x ?
4x * ? = 36?

you cant factor bc there is no x with 36

9 goes into 36 4 times??

yes; very good :)

right

right..the 2nd x needs to be positive??

how do we get: (x-4) to equal (-x+4) ? what can we factor out of ...lets say the one on the right?

1?

close, real close; but lets try a (-1)
\[(-x+4)\iff -1(x-4)\]

\[2x^2(x−4)+9(-x+4)\]
\[2x^2(x−4)+9(-1)(x-4)\]
\[2x^2(x−4)-9(x-4)\]

correct

thank you so much for helping me. :)

youre welcome; but we got one last step

ohh

we gotta factor this last part again to get our final answer

x-4

good :) so lets pull that out and see whats left

\[(A)(2x^2-9)\]
\[(x-4)(2x^2-9)\]

thats our answer

ok, got it :)

i knew you would ;)

again, thanx a lot!