SOLUTION: Factor: 3x^2+x+1 How do I do this ? Thanks for your help and time !

Algebra.Com
Question 27738: Factor:
3x^2+x+1
How do I do this ?
Thanks for your help and time !

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -8 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -8 is + or - .

The solution is

Here's your graph:

Cheers,
Stan H

RELATED QUESTIONS

Factor: 9x^2-12x-5 How do I do this ? Thanks for your help and time... (answered by sdmmadam@yahoo.com)
Factor: a^2-6a-27 How do I do this ? Thanks for your help and time... (answered by sdmmadam@yahoo.com)
Factor: 10a^3+3a-4 How do I do this ? Thanks for your help and time... (answered by Earlsdon)
Factor: How do I do this ? Solve: 6x^2=12x Thanks for your help and time, it's... (answered by sdmmadam@yahoo.com)
Factor: How do I do this ? Factor: y^3+125 Thanks for your help and time, it's... (answered by sdmmadam@yahoo.com)
Factor: How do I do this ? Factor 2x^3y^2-32xy^2 Thanks for your help and time,... (answered by Earlsdon)
Factor: How do I do this ? Solve: (z-5)(z+4)=52 Thanks for your help and time,... (answered by sdmmadam@yahoo.com)
How do I find the solution to this x^2-16=0 How do I find to the solutions this... (answered by stanbon)
How do I factor this polynomial .... c to the 3rd power + 125 Thanks for your... (answered by longjonsilver)