# Factor the Trinomial

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Factor the trinomial is a tool used to factorize the trinomial. First to understand the factorization of trinomial we need to understand what exactly trinomial is. Trinomial is basically a polynomial which contains three monomials or three terms. The factorization of the trinomial is done by the suitable factorization methods. There are various methods to factorize trinomial, but it is important to apply the relevant method according to question requirement. This can be better clarified by the suitable examples, which are shown below:-

Question 1:- Factor and solve the following expression: - x^2 + 18x+ 81= 0

Solution 1:- In this question given expression is x^2+ 18x + 81

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

That is: - x^2 + 9x + 9x + 81= 0

Therefore x(x+9) + 9(x+9) = 0

So (x+9) (x+9) = 0

From above equation we have seen that x = -9 is the required solution of the given equation.

Question 2:- Factor and solve the following expression: - x^2 + 32x+ 256= 0

Solution 2:- In this question given expression is x^2+ 32x + 256

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

That is: - x^2 + 16x + 16x + 256= 0

Therefore x(x+16) + 16(x+16) = 0

So (x+16) (x+16) = 0

From above equation we have seen that x = -16 is the required solution of the given equation.