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Answer:
Step-by-step solution :
STEP
1
:
Equation at the end of step 1
(23x2 - 6x) - 3
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 8x2-6x-3
The first term is, 8x2 its coefficient is 8 .
The middle term is, -6x its coefficient is -6 .
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 -6 .
-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 - 6x - 3