how do you factor f(x)=-x^3-x^2+4x+4

Answer 1

Let’s first separate the first 2 terms from the 2^nd 2 terms:

= (-x³ – x²) + (4x +4)

Now, for each set of parentheses, pull out the common terms:

             = - x² (x + 1) + 4(x +1)

Finally, let’s pull the (x + 1) out from each term

             = (x + 1) (-x² + 4)

 Or = - (x + 1) (x² - 4)