anonymous
  • anonymous
What is the sum of the roots of the polynomial shown below? f(x)=3x^3+12x^2+3x-18
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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agreene
  • agreene
set 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
  • anonymous
you can also do this without finding the roots (in case they are harder to find than here)
anonymous
  • anonymous
if you have \[ax^3+bx^2+cx+d=0\] sum of the roots is \[-\frac{b}{a}\] and here you see that \[-\frac{b}{a}=-\frac{12}{3}=-4\]

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anonymous
  • anonymous
produce 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
anonymous
  • anonymous
*product
agreene
  • agreene
I had forgotten all of that, thanks satellite.
anonymous
  • anonymous
yw

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