SOLUTION: Express f(x)as a product of linear factors. f(x)= x^3+3x^2-2x-4, -1 is a zero.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Express f(x)as a product of linear factors. f(x)= x^3+3x^2-2x-4, -1 is a zero.       Log On


   

Question 1050877: Express f(x)as a product of linear factors.
f(x)= x^3+3x^2-2x-4, -1 is a zero.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)= x^3+3x^2-2x-4, -1 is a zero.
Using Synthetic Division
-1 1 3 -2 -4
-1 -2 4
1 2 -4 0
x^2 + 2x - 4 = 0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-b+%2B-+sqrt%28+4+%2B+16%29%29%2F%282%2Aa%29+
x+=+%28-b+%2B-+sqrt%28+20%29%29%2F%282%2Aa%29+
x+=+%28-2+%2B-+2+sqrt%285%29%29%2F%282%29+
x+=+%28-1+%2B-++sqrt%285%29%29+
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f(x) = (x+1)(x -(-1 +√5 ))(x - (-1-√5)
f(x) = (x+1)(x + 1 -√5 )(x +1 +√5)