SOLUTION: Use the Rational Root Theorem to list all possible rational roots for each equation. Then find any actual roots. x^3+2x^2+3x+6=0

Question 458709: Use the Rational Root Theorem to list all possible rational roots for each equation. Then find any actual roots.
x^3+2x^2+3x+6=0
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Applying the rational root theorem, possible rational roots are -6, -3,-2, -1, 1,2,3,6.
Using the remainder theorem (or synthetic division), trying out x = -2:
Hence x = -2 is a rational root. After synthetic division, the quotient is , which doesn't even have real roots.
RELATED QUESTIONS
Use the Rational Root Theorem to list all possible rational roots for each equation. Then (answered by stanbon)

Use the rational root theorem to list all possible rational roots for each equation.then... (answered by KMST)

Use the rational rooots theorem to list all possible rational roots for each equation.... (answered by josgarithmetic)

Use the Rational Root Theorem to list all possible rational roots for each equation. Then (answered by Mathtut)

Use the Rational Root Teorem to list all possible rational roots. Then find any actual... (answered by robertb)

Use the rational roots therm to list all the possible rational roots for the equation... (answered by Edwin McCravy)

Use the rational root theorem to find all rational roots of the function. Then find all... (answered by jsmallt9)

list all rational zeros use synthetic division to test the possible rational roots and... (answered by shorty4aboo)