SOLUTION: Find the solution set: x^3+x^2-7x-3 Hint: the possible rational roots are factors of 3

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Question 768727: Find the solution set:
x^3+x^2-7x-3
Hint: the possible rational roots are factors of 3
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The request implies the cubic expression is equated to 0.

Checking the root, -3 with synthetic division, the quotient is x^2-2x-1. The REAL and rational root is x=-3.

The synthetic division supporting this is:

-3___|____1____1____-7____-3
_____|____ ___-3____6_____3
_____|______________________
__________1___-2____-1____0----------see, the remainder is 0.



If you work further with the resulting quadratic, you'll find the irrational roots 1-sqrt%282%29 and 1%2Bsqrt%282%29.