How to factor: x^5-6x^4+40x^2-13x-70 Please show me the steps!

How to factor: x^5-6x^4+40x^2-13x-70 Please show me the steps!

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There is a theorem thing that states that plus or minus the factors of the constant(70 in this case) divided by plus or minus the constant in front of the term with the largest power are all the possibilities of the factors of the polynomial. So just start crunching the numbers.

try \[\pm1,2,5,7,10,35,70\]then use synthetic division or polynomial long division to divide out the factors

can you explain synthetic divsion please?

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