SOLUTION: P(x) = x^3 + 2x^2 − 14x − 40 Factor the polynomial as a product of linear factors with complex coefficients.

Algebra ->  Equations -> SOLUTION: P(x) = x^3 + 2x^2 − 14x − 40 Factor the polynomial as a product of linear factors with complex coefficients.      Log On


   



Question 1157889: P(x) = x^3 + 2x^2 − 14x − 40
Factor the polynomial as a product of linear factors with complex coefficients.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
P%28x%29+=+x%5E3+%2B+2x%5E2+-14x-40
P%28x%29+=+%28x+-4%29+%28x%5E2+%2B+6x+%2B+10%29........use quadratic formula to find complex roots
=> x+=+-3+-i and x+=+-3+%2B+i
=> root product: %28x+-%28+-3+-+i%29%29=>%28x+-%28+-%283+%2B+i%29%29%29=>%28x+%2B%283+%2B+i%29%29
and %28x+-%28+-3%2B+i%29%29=>%28x+-%28+-%283+-+i%29%29%29=>%28x+%2B%283+-i%29%29

P%28x%29+=%28x+-+4%29%28x+%2B+%283+-+i%29%29+%28x+%2B+%283+%2B+i%29%29