Factorizing Trinomials

Introduction:

           The equation or a function is in the structure of  ax²+bx+c =0 (where a≠0, b, c are constants ) called as trinomials.We can also refer it as a quadratic function. An algebraic expressions and algebraic formulas which  has 3 terms known as trinomials.The trinomials having highest power 2.The trinomials have the  two roots. There are two ways to factor the trinomial according to the co-efficient of x² . In the following section we are going to learn factoring trinomials by using trinomials calculator.

Factorizing Trinomials:

When the coefficient of the highest power is 1.

i.e., ax² ± bx ± c, when a = 1 and b and c are integers.

When two binomials are multiplied the product is a trinomial.

Thus (x + 4) (x + 5) = x² + 9x + 20 …(1)

(x - 4) (x - 5) = x² - 9x + 20 … (2)

In this chapter we try to express a trinomial into binomial factors. From the above results, we notice that

(i) Since the first term in both the factors is x, the first term in the trinomials is x².

(ii) The product of the second terms in the factors e.g., in (1), +4 and +5 (i.e., +20) is the third term in the trinomial.

(iii) The sum of the second terms of the factors e.g., in (2), the sum of -5 and -4 which is -9, is the coefficient of x in the trinomial.

We further illustrate these laws by the following examples and using trinomials calculator.

Hope you liked the above explanation. Please leave your comments, if you have any doubts.