tillmankdY22 tillmankdY22
  • 13-02-2021
  • Mathematics
contestada

Fill in the blank. What is the sum of the roots of the polynomial shown below? f(x) = 3x3 + 12x2 + 3x - 18

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Xtreme243 Xtreme243
  • 13-02-2021

Answer:

-4

Step-by-step explanation:

Ok first we can factor out 3x and get

[tex]f(x)=3(x^3+4x^2+x+6)[/tex]

then factor it

[tex]f(x)=3(x^2(x-1)+5x(x-1)+6(x-1))\\f(x) = 3(x-1)(x^2+5x+6)\\f(x) = 3(x-1)(x+3)(x+2)\\x = 1, -3, -2[/tex]

add em together, we get -4

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