SOLUTION: add. simplify by removing a factor of 1 if possible (4x+2)/(3x^2-3x-36)+(5)/3x^2-15x+12

Question 212453: add. simplify by removing a factor of 1 if possible
(4x+2)/(3x^2-3x-36)+(5)/3x^2-15x+12
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
factor,,3x^2 -3x -36 = (3x+9)(x-4) = 3(x+3)(x-4)
.
factor,,3x^2 -15x +12 = (3x-3)(x-4) = 3(x-1)(x-4)
.
LCD = 3(x-4) (x+3)(x-1)
.
restating problem over LCD
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[(4x+2)(x-1) + (5) (x+3)] / [ 3(x-4)(x+3)(x-1)
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[ 4x^2 -2x -2 + 5x +15] / { 3(x-4)(x+3)(x-1)]
.
[ 4x^2 +3x +13} / [ 3(x-4)(x+3)(x-1)]
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This is answer,,,if we factor numerator it is a complex number (x=-.375 +/- 1.763 i )
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