Question

Factor the trinomial and enter the factorization below. Write each factor as a

polynomial in descending order.
x^2+6x-27

Answer 1

( x - 3 )( x + 9 )

Explanation:

The first thing we want to do here is to break the expression into groups. This will help us factor out common terms, that will later be grouped - our resulting, factored expression.

x² + 6x - 27 - Break the expression into groups,

( x² - 3x ) + ( 9x - 27 ) - Factor out x from the expression " x² - 3x. " Respectively factor out 9 from the expression " 9x - 27. "

x( x - 3 ) + 9( x - 3 ) - Now this contains the shared expression " x - 3, " and hence can be broken down further through grouping.

Factored Expression: ( x - 3 )( x + 9 )