Math

QuestionFactor the polynomial 18x27-18x - 27 completely.

Studdy Solution

STEP 1

Assumptions1. The given polynomial is 18x27-18x -27. . We are asked to factor the polynomial completely.

STEP 2

First, we need to identify the greatest common factor (GCF) of the coefficients of the terms in the polynomial. The GCF of -18 and -27 is -9.

STEP 3

Factor out the GCF from the polynomial.
9(2x+3)-9(2x +3)

STEP 4

Check the factored form by distributing -9 to each term inside the parentheses.
9(2x)+9(3)=18x27-9(2x) + -9(3) = -18x -27The factored form of the polynomial 18x27-18x -27 is 9(2x+3)-9(2x +3).

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