SOLUTION: The polynomial 49a6−28a3b+4b2−4c−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 a
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-> SOLUTION: The polynomial 49a6−28a3b+4b2−4c−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 a
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Question 1185480: The polynomial 49a6−28a3b+4b2−4c−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. Answer by greenestamps(13209) (Show Source):
The format used in the post is poor, making it a puzzle to figure out what the problem really is.
It is standard to use "^" (shift-6) in typed text to denote exponentiation. In that case, the polynomial appears to be
In that case, the polynomial does not factor. The is ; but then we can't do anything with the rest of the polynomial.
The conditions of the problem say that the coefficient of c in polynomial A is less than the coefficient of c in polynomial B. That implies that polynomials A and B both contain terms with variable c. But then the product of the two polynomials would contain a term in c^2, which it does not.
Re-post, showing the given polynomial in the correct form....
