SOLUTION: factor the polynomials using whatever strategy seems appropriate. State what methods you will use and then demonstrate the methods on your problems, explaining the process as you

Question 788072: factor the polynomials using whatever strategy seems appropriate. State what methods you will use and then demonstrate the methods on your problems, explaining the process as you go. Discuss any particular challenges those particular polynomials posed for the factoring.
6w^4-54W^2 these are two separate problems 1-XY-20^2Y^2
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!

The coefficients are both multiples of , because , so we could take out as a common factor.
Both terms have powers of , and the smallest exponent is , and we can write as , so we could take out as a common factor.
We can take out both actors at the same time, as
and

Next, we realize that is a difference of squares, a special product of the form
.
Specifically, .
So the complete factorization is

RELATED QUESTIONS
factor the polynomials using whatever strategy seems appropriate. State what methods you... (answered by stanbon)

factor the polynomials using whatever strategy seems appropriate. State what methods you... (answered by stanbon)

Factor the polynomials using whatever strategy seem appropriate. State which factoring... (answered by stanbon)

I am learning about Factoring, here is the instruction State what methods you will use... (answered by stanbon)

Quadratic equations can be solved by graphing, using the quadratic formula, completing... (answered by rwm)

If you were asked to factor several polynomials of all types, provide the strategy that... (answered by Alan3354)

Solve using whatever counting methods are necessary. Please show work. A box... (answered by venugopalramana)

Solve using whatever counting methods are necessary. Please show work. A box... (answered by longjonsilver)