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how do you factor a polynomial ?

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Depends. Do you have an example?
In short, one usually uses the rational roots theorem to determine possible rational roots. the theorem can give a long list of possible roots, but that list of complete for rational roots. After those are tested, one must use other methods.

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Other answers:

Absolute factorization of a polynomial of degree 4 (quartic) or less is possible with the quartic, cubic, and quadratic pformulas.
@nikkimae , for this example, you want to factor out all common factors first. You can reduce the expression into: 4B(4B^3+2B+5)
Nex you need to factor the resulting expression. You can use the rational roots theorem for ideas here.
then you just multiply right?
what do you do after you have reduce the expression?
You are attempting to simply the expression into factors. YOu do not multiply after - the whole point of factoring is to "undo" the multiplying.
ohhhh okay i got it thanks :)
okay - let me know if you need anymore help - note that that expression is not the final answer.
okay one question how did you exactly reduce the expression ? i have exams and i need to know this stuff
use this to simply what is inside the parenthesis,

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