SOLUTION: The polynomial x^3 + 2x^2 − 29x + 42 has -7 as one zero. Find the quadratic factor.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The polynomial x^3 + 2x^2 − 29x + 42 has -7 as one zero. Find the quadratic factor.      Log On


   



Question 963232: The polynomial x^3 + 2x^2 − 29x + 42 has -7 as one zero. Find the quadratic factor.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
-7______________|_______1_______2_______-29________42
________________|
________________|______________-7_______35________-42
________________|_
___________________________________________________________
________________________1______-5________6________0


Yes, -7 is a root corresponding to the binomial factor x%2B7.
The quotient shows the coefficients of the quadratic factor.
highlight%28x%5E2-5x%2B6%29.