How Do You Factor Trinomials By Grouping?
Trinomials are especially useful algebraic expressions of three terms: the addition–or subtraction–of three monomials. Trinomials help organize and model data in many practical situations, such as weather forecasting, economic markets, manufacturing and mixture and dimension problems.There are several methods of factoring trinomials. Grouping is one of the most elegant ways of factoring trinomials that aren’t perfect squares. Write your trinomial in standard form. Choose one variable and list that variable’s terms in descending order of degree (i.e., start with the term that has the largest exponent). Do it like this:a(x squared) + bxy + c(y squared)ora(x squared) + bx + c Multiply the first and last coefficients (a * c or ac). List the factors of the product.F * f = ac Look over the factor pairs as you list them and choose a pair (F, f) whose sum is b.F + f = b Express the middle term (bxy) of the trinomial as a sum using the factor pair you choose as the coefficients.Fxy + fxy = bx
