Question 1185480
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The format used in the post is poor, making it a puzzle to figure out what the problem really is.<br>
It is standard to use "^" (shift-6) in typed text to denote exponentiation.  In that case, the polynomial appears to be<br>
{{{49a^6-28a^3b+4b^2-4c-4}}}<br>
In that case, the polynomial does not factor.  The {{{49a^6-28a^3b+4b^2}}} is {{{(7a^3-2b)^2}}}; but then we can't do anything with the rest of the polynomial.<br>
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.<br>
Re-post, showing the given polynomial in the correct form....<br>