3 years ago

What conclusions can you draw about the roots of the equation x^3+x^2-2x+12=0

Mathematics

1 answer:

nexus9112 [7]3 years ago

4 0

Answer:

x=-3

Step-by-step explanation:

If x=-3, then

x³+x²-2x+12=-27+9+6+12=-27+27=0

If this is true, then x+3 is a factor. So:

x³+x²-2x+12/x+3=x²-2x+4

So the factors of x³+x²-2x+12 are:

(x+3)(x²-2x+4)

((x²-2x+4) has no real roots)........

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What conclusions can you draw about the roots of the equation x^3+x^2-2x+12=0​

What conclusions can you draw about the roots of the equation x^3+x^2-2x+12=0