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anonymous
 4 years ago
What is the sum of the roots of the polynomial shown below? f(x)=3x^3+12x^2+3x18
anonymous
 4 years ago
What is the sum of the roots of the polynomial shown below? f(x)=3x^3+12x^2+3x18

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agreene
 4 years ago
Best ResponseYou've already chosen the best response.1set the equation equal to 0 to find the roots, you should find x= 3, 2, 1 are the roots sum (add) the roots: (3)+(2)+1= 4

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you can also do this without finding the roots (in case they are harder to find than here)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0if you have \[ax^3+bx^2+cx+d=0\] sum of the roots is \[\frac{b}{a}\] and here you see that \[\frac{b}{a}=\frac{12}{3}=4\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0produce of the roots (not that you asked) is \[\frac{d}{a}\] in case you need that one. if all you need is product and sum, you do not need to find the roots, and in some cases finding the roots may be very hard

agreene
 4 years ago
Best ResponseYou've already chosen the best response.1I had forgotten all of that, thanks satellite.
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