Using the X Method to Factor a Trinomial ax2 + bx + c

Consider the trinomial 6x2 + 13x + 6.

The value of ac is

The value of b is

The two numbers that have a product of ac and a sum

of b are 4

(3x+2)(2x+3)

Step-by-step explanation:

Given the trinomial:

We want to use the X Method to Factor the Trinomial.

a=6, b=13, c=6

Factors of 36 are:

1,2,3,4,6,9,12,18,36

Product of factors that gives 36 are:

The two numbers that have a product of ac (36) and a sum  of b (13) are: 4 and 9.

Therefore our trinomial becomes:

Thus, in factored form is (3x+2)(2x+3)

chemists are often responsible for designing a chemical reaction and analyzing the products obtained from it. one significant part of designing a chemical reaction is determining the amount of each reactant that is needed and the amount of each product that will be produced. in order to do so, chemists use stoichiometry, the quantitative relationships between reactants and products.