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anonymous
 one year ago
What is the sum of the roots of the polynomial shown below?
F(x)=3x^3+12x^2+3x18
anonymous
 one year ago
What is the sum of the roots of the polynomial shown below? F(x)=3x^3+12x^2+3x18

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butterflydreamer
 one year ago
Best ResponseYou've already chosen the best response.1sum of roots = b/a Note that : F(x) = ax^3 + bx^2 + cx + d

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.1try to factor (x1) because x=1 is one of roots (f(1)=0 if you check)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the sum of the roots are 4

butterflydreamer
 one year ago
Best ResponseYou've already chosen the best response.1So you want to find your values of a and b by matching it up :) \[F(x) = ax^3 + bx^2 + cx + d \] \[F(x)= 3x^3 + 12x^2 + 3x  18\]

butterflydreamer
 one year ago
Best ResponseYou've already chosen the best response.1you're close :) just missing a negative sign!

butterflydreamer
 one year ago
Best ResponseYou've already chosen the best response.1If you look at the above, we get: a = 3 b = 12 Sum of roots = \[b/a\] Therefore sum of roots = 12 / 3 = 4

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.1he/she did not miss 

butterflydreamer
 one year ago
Best ResponseYou've already chosen the best response.1_ oops, you wrote 4 You're correct! :)

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.1another observation is to write it \[f(x)=3(x1)(x+3)(x+2)\]
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