SOLUTION: The polynomial 49a^6−28a^3b+4b^2−4c^−4 can be factored into the product of two polynomials, A⋅B where the coefficient of c in A is less than the coefficient of c in B. Find

Question 1185497: The polynomial 49a^6−28a^3b+4b^2−4c^−4 can be factored into the product of two polynomials, A⋅B where the coefficient of c in A is less than the coefficient of c in B. Find A and B.
The numbers after '^' are exponents (6,3,2,-4)
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52798) (Show Source): You can put this solution on YOUR website!
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The polynomial 49a^6−28a^3b+4b^2−4c^−4 can be factored into the product of two polynomials, A⋅B
where the coefficient of c in A is less than the coefficient of c in B. Find A and B.
The numbers after '^' are exponents (6,3,2,-4)
~~~~~~~~~~~~~~~~

Hello, the long formula in your post is not a polynomial.

If you think it is a polynomial, it means that your eyes deceive you.

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Your expression is

It is not a polynomial, because polynomials can't have negative exponents.

However, the expression is factorable using the pattern P^2-Q^2=(P+Q)(P-Q).

Note that the two factors are also not polynomials, since they both contain negative exponents.

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