Factor the polynomial: -x^3-2x^2-3x

-x(x^2+2x+3)

Step-by-step explanation:

Step-by-step explanation:

-x is common to all three terms.  Thus, -x^3-2x^2-3x = -x(x^2 + 2x + 3).

Use the quadratic formula to find the roots (and thus the factors) of

x^2 + 2x + 3:  a = 1; b = 2; c = 3.

Thus, the discriminant is b^2-4ac, or 4 - 4(1)(3), or -8.

Because this discriminant is negative, x^2 + 2x + 3 has two complex, unequal roots.  They are:

      -2 ± i√8                  

x =  or  -1 ± i*2*√2

Thus, the three factors of the given polynomial are:

-x, (x + 1 + 2i√2), and (x + 1 - 2i√2)

            2

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step-by-step explanation:

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step-by-step explanation: