Question

What is the factorization of the polynomial 3x^2 + 11x + 6 ? Please show how you got the answer, thank you!

Answer 1

I used the generic rectangle/diamond method, although the quadratic formula would work just as well with a=3, b=11, c=6.  Put that into the quadratic formula$\frac{-b+/- \sqrt{b ^{2}-4ac } }{2a}$ to get that your factors are x = -2/3 and -3.  Putting those into factorization form you get the 2 factors as (3x+2)(x+3)