For the polynomial x3+5x2-8x - 12, (x+1) is one of the factors what are the other two factors of this polynomial

(x – 2)(x – 6)

Step-by-step explanation:

Step 1. Use synthetic division to factor the polynomial.

-1|  1   5    -8  -12

 |      -1     -4  -12

  1     4   -12     0

So, f(x) = (x + 1)(x² + 4x - 12)

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Step 2. Factor the quadratric

Find two numbers whose product is -12 and whose sum is +4.

The numbers are -2 and +6.

x² + 4x - 12 = (x - 2)(x + 6)

The graph shows the x-intercepts at (2,0), (-1,0), and (-6,0), corresponding to the factors (x – 2), (x + 1), and (x + 6).

because they could drop even lower..