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lovinglyhated
a Polynomial f and a factor of f are given factor f completely f(x)= x^3-3x^2-16x-12; x-6
Use long division or synthetic division to divide the polynomial by x - 6. Then you'll get a quadratic polynomial which can be factored easily.
so i got x^2+3x+2
Now factor x^2 + 3x + 2 as a trinomial. Find two numbers that multiply to 2 and add up to 3.