To determine which one is correct, we notice that the middle term in the trinomial
is negative, hence when we multiply the inner terms and then the outer terms, the negative term should have the larger coefficient. Looking at the possibilities we see that the correct factorization is
since multiplying the outer terms give us
and multiplying the inner terms gives us
, which add up to the
as desired. Thus (b) is the correct answer.
making (b) the correct answer.
and add 12 to both sides to get b = 28 which is answer (a).
Thus, (a) is the correct answer.
To move the decimal point in both the numerator and the denominator one spotto the right, multiply the top and the bottom by 10 to get