how you would factor 8x^6 – 56x^3 + 98. could you walk me trough the solving process step by step
Alright. First factor out the GCF. 2(4x^6 - 28x^2 + 49) Do you recognize how 4x^6 - 28x^2 + 49 is a perfect square?
the gcf is 2?
Yeah. After that, do you see how it forms a perfect square pattern though?
no its kinda hard bc of the ^s
but im trying to break them down
\[2(4x^{6} - 28x^{3} + 49)\]
\[2(4x ^{6}-28x ^{2}+49)\]
dang lol
ok what is that again?
perfect square
A perfect square trinomial looks like this. \[(a - b)^{2} = a^{2} - 2ab + b^{2}\]
oooo ok i gotcha, so what is the next step after you realize its a perfect square
You factor it based on that fact. \[2(4x^{6} - 28x^{3} + 49) = 2(2x^{3} - 7)(2x^{3} - 7)\]That's the farthest you can go I think at this point.
okay gotcha well dang that prob wasnt a good one to choose since the other problems dont have perfect square
Yeah. lol
5x3 – 35x2 + 60x. would that be a good one?
there
we got to 2(2x3−7)(2x3−7)
Do you need to factor x^3 – 35x^2 + 60x?
yes but i need to know how to get the factors of the last problem
You mean 2(2x3−7)(2x3−7)?
yes***
The factors are 2 and 2x^3 - 7
Or you might have to say 2 and 2x^3 - 7 multiplicity 2.
what does that mean
THose are the factors.
ty do you wan me to open a new window for the other problem
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