SOLUTION: For the polynomial below, -1 is a zero. h(x)= x^3+3x^2-2x-4 express h(x) as a product of linear factors

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: For the polynomial below, -1 is a zero. h(x)= x^3+3x^2-2x-4 express h(x) as a product of linear factors      Log On


   

Question 1149521: For the polynomial below, -1 is a zero.
h(x)= x^3+3x^2-2x-4
express h(x) as a product of linear factors
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
-1   |   1   3   -2   -4
     |      -1   -2    4
     |_________________________
         1   2   -4    0

h%28x%29=%28x%2B1%29%28x%5E2%2B2x-4%29


-
Quadratic's roots,
x=%28-2%2B-+sqrt%284%2B4%2A4%29%29%2F2
%28-2%2B-+2%2Asqrt%285%29%29%2F2
-1%2B-+sqrt%285%29
-

h%28x%29=%28x%2B1%29%28x-%28-1%2Bsqrt%285%29%29%29%28x-%28-1-sqrt%285%29%29%29
.
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