SOLUTION: Factors the polynomial P(x).then solve the equation P(x)=0. 1.P(x)=x^3+4x^2+x-6 2.P(x)=x^3-6x^2-x+6 3.P(x)=x^3-x^2-x+1 4.P(x)=2x^3-3x^2-3x+2 5.P(x)=x^4-x^3-19x^2+49x-30

Question 985474: Factors the polynomial P(x).then solve the equation P(x)=0.
1.P(x)=x^3+4x^2+x-6
2.P(x)=x^3-6x^2-x+6
3.P(x)=x^3-x^2-x+1
4.P(x)=2x^3-3x^2-3x+2
5.P(x)=x^4-x^3-19x^2+49x-30
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

5.



Possible rational solutions are �1, �2, �3, �5, �6, �10, �15, �30

Try 2

1 | 1  -1 -19  49 -30
  |     1   0 -19  30
    1   0 -19  30   0

So we have factored P(x) as 



Possible rational solutions to the second parenthetical expression
set = 0 are �1, �2, �3, �5, �6, �10, �15, �30


Try 2

2 | 1   0 -19  30
  |  2   4 -30
    1   2 -15   0

So we have factored P(x) further as as



Now just factor the trinomial:



x-1=0;  x-2=0;  x+5=0;  x-3=0
  x=1;    x=2     x=-5    x=3

Edwin

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