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wowbriana
 3 years ago
how do i simplify
4x^27x+3
divided by
x^2+5x6?
wowbriana
 3 years ago
how do i simplify 4x^27x+3 divided by x^2+5x6?

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ash2326
 3 years ago
Best ResponseYou've already chosen the best response.0we have \[\frac{4x^27x+3}{x^25x+6}\] let's divide (x^25x+6)*4=4x^220x+24 rewriting the numerator as 4x^27x+6=(4x^220x+24)+13x18 so we have now \[\frac{(4x^220x+24)+13x18 }{x^25x+6}\] if we simplify we get \[4+\frac{13x18 }{x^25x+6}\]

wowbriana
 3 years ago
Best ResponseYou've already chosen the best response.0is there more simplifying? because thats not one of my options

wowbriana
 3 years ago
Best ResponseYou've already chosen the best response.0i wrote the question wrong, the denomenator is supposed to be x^2+5x6

ash2326
 3 years ago
Best ResponseYou've already chosen the best response.0then 4(x^2+5x6)=4x^2+20x24 so 4x^27x+3=(4x^2+20x24)27x+27 so we get \[4+\frac{27x+27}{x^2+5x6}\]

rivermaker
 3 years ago
Best ResponseYou've already chosen the best response.1\[x^2 + 5x  6 = (x1)(x+6)\] \[4x^27x+3 = 4x^24x3x+3=4x(x1)3(x1)=(4x3)(x1)\] So cancelling (x1) you can see the answer

rivermaker
 3 years ago
Best ResponseYou've already chosen the best response.1\[\frac{4x3}{x+6}\]
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