Solution - Simplification or other simple results

8 x^{2} - 4 x - 3

8x^2-4x-3

Step by Step Solution

Step 1 :

Equation at the end of step 1 :

  ((2³x² -  9x) -  3) +  5x

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 8x²-4x-3

The first term is, 8x² its coefficient is 8 .
The middle term is, -4x its coefficient is -4 .
The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 8 • -3 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -4 .

-24	+	1	=	-23
-12	+	2	=	-10
-8	+	3	=	-5
-6	+	4	=	-2
-4	+	6	=	2
-3	+	8	=	5
-2	+	12	=	10
-1	+	24	=	23

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

Final result :

  8x² - 4x - 3

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