# Factor Trinomials

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Factor trinomials are the tool which is used to find the factor of the trinomials. Since it is trinomial, hence it is used to factorize the polynomial which consists of three terms. It uses rules and methods of factorization to solve or factorize the expression or equation consisting of trinomials. It is useful as it automatically selects relevant factorization method in different questions and hence it makes whole process very simple. The above facts can be cleared by following examples:-

Question 1:- Factor and solve the following expression: - x^2 + 34 x+ 289= 0

Solution 1:- In this question given expression is x^2+ 34 x + 289

This is basically a quadratic equation, so here we will us middle term splitting method, which is shown below

That is: - x^2 + 17x + 17x + 289= 0

Therefore x(x+17) + 17(x+17) = 0

So (x+17) (x+17) = 0

From above equation we have seen that x = -17 is the required solution of the given equation.

Question 2:- Factor and solve the following expression: - x^2 + 36x+ 324= 0

Solution 2:- In this question given expression is x^2+ 36x + 324

This is basically a quadratic equation, so here we will us middle term splitting method, which is shown below

That is: - x^2 + 18x + 18x + 324= 0

Therefore x(x+18) + 18(x+18) = 0

So (x+18) (x+18) = 0

From above equation we have seen that x = -18 is the required solution of the given equation.