Solution - Simplification or other simple results

9 x^{2} - x - 6

9x^2-x-6

Step by Step Solution

Step 1 :

Equation at the end of step 1 :

  ((2³x² -  x) +  3) +  (x² - 9)

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 9x²-x-6

The first term is, 9x² its coefficient is 9 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -6

Step-1 : Multiply the coefficient of the first term by the constant 9 • -6 = -54

Step-2 : Find two factors of -54 whose sum equals the coefficient of the middle term, which is -1 .

-54	+	1	=	-53
-27	+	2	=	-25
-18	+	3	=	-15
-9	+	6	=	-3
-6	+	9	=	3
-3	+	18	=	15
-2	+	27	=	25
-1	+	54	=	53

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Final result :

  9x² - x - 6

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