SOLUTION: Please help w/ the following: Find the rational roots of F. List any irrational roots correct to two decimal places. f(x)= x^4+7x^3+x^2-35x-30 Thank you.

Question 62441: Please help w/ the following:
Find the rational roots of F. List any irrational roots correct to two decimal places.
f(x)= x^4+7x^3+x^2-35x-30
Thank you.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Please help w/ the following:
Find the rational roots of F. List any irrational roots correct to two decimal places.
f(x)= x^4+7x^3+x^2-35x-30
Thank you.
factors of constant term -30 are
+ or - 1,2,3,5,6,10,15,30
trying we find f(-1)=0...and.....f(-6)=0
hence x=-1...or...x+1 is a factor
-1|1+7+1-35-30
0-1-6+5 +30
---------------------
1+6-5-30+0
x^3+6x^2-5x-30=0
f(-6) =0.....x=-6....x+6 is a factor
-6|1+6-5-30
0-6+0+30
------------------
1+0-5+0
x^2-5 is quotient
x=+ or - sqrt(5)= + or - 2.23607
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