SOLUTION: {{{p(x)=x^3+3x^2-4x-12}}}. factor the polynomial and use the factored form to find the zeros. put it in a table and sketch a graph.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: {{{p(x)=x^3+3x^2-4x-12}}}. factor the polynomial and use the factored form to find the zeros. put it in a table and sketch a graph.      Log On

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Question 843195: p%28x%29=x%5E3%2B3x%5E2-4x-12. factor the polynomial and use the factored form to find the zeros. put it in a table and sketch a graph.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

p%28x%29=x%5E3%2B3x%5E2-4x-12    |Note:  x = 2 a factor,  8 + 12 - 8 - 12 = 0

Using synthetic division

2	1	3	-4	-12

		2	10	12

	1	5	6	0

p%28x%29=x%5E3%2B3x%5E2-4x-12 = (x-2)(x^2 + 5x + 6) = (x-2)(x+3)(x+2)

zeros:  -3,  -2,  2