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Introduction to Trinomial Notes:

Trinomial notes is a polynomial with three monomial terms. In trinomial notes, sum of three monomials is said to be trinomial. For example, 2x⁵ – 3x² + 3 is a trinomial . An Algebraic expression of the form axⁿ is called a monomial in x, The sum of two monomials is called a binomial and the sum of three monomials is called a trinomial. sum of the finite number of a monomials in term x is called a polynomial of x.

Example :

Factor trinomial notes x² + 3x − 10.

Solution.

The binomial factors will have this form:

(x a)(x b)

What are the factors of 10? they are 2 and 5:

x² + 3x − 10 = (x 2)(x 5).

We have to know how to choose the signs so that, coefficient for middle term will be sum of the outers plus the inners -- will be +3. Choose factors , +5 and −2.

= x² + 3x − 10 Would you like to learn more on angle of elevation

= (x − 2)(x + 5)

When 1 is the coefficient for x², the order of factors it does not matter.

(x − 2)(x + 5) = (x + 5) (x − 2) are same factors keep Math at your fingertips.