Princeton819 Princeton819

19-12-2020
Mathematics

contestada

What are all the zeros of the polynomial
y= -x^3 -3x^2 +6x +8
In synthetic division

Respuesta :

jorel1380 jorel1380

22-12-2020

Answer:

x=2, -4, -1

Step-by-step explanation:

-x³-3x²+6x+8=0

Multiply entire equation by -1:

x³+3x²-6x-8=0

Since x=2 is a solution, then x-2 must be a factor. Then:

x³+3x²-6x-8/x-2=x²+5x+4

x²+5x+4=0

Factor this:

x²+5x+4=(x+4)(x+1)=0

x=-4, -1

x=2, -4, -1

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