The polynomial 14 x^3 + 8 x^2 + 21 x + 12 can be factored into the product of two polynomials, A * B where the degree of A is greater than the degree of B. Find A and B.

Answer 1

Strangely worded question.
I will simply factor it.

14 x^3 + 8 x^2 + 21 x + 12
= 2x^2(7x+4) + 3(7x+4)
= (7x+4)(2x^2+3)