Monday

September 22, 2014

September 22, 2014

Posted by **Momo** on Wednesday, February 3, 2010 at 10:48pm.

12x^3-23x^2-3x+2=0 is 2. Find all other solutions.

I tried rearranging the equation to factor by grouping, but that 23x^2 is bothersome and I can't get the right answers (I know the answers are 2, 1/4, and -1/3).

Help?

Thank you!

- Math -
**Reiny**, Wednesday, February 3, 2010 at 10:57pmsince you were told that x=2 is a solution, you know that x-2 must be a factor and must divide evenly into your expression.

So use either long division or synthetic division to change your equation to

(x-2)(12x^2 ...........) = 0

since your second factor is a quadratic you can use the quadratic formula to solve that.

(But since you know the solutions, we can conclude that the other factors have to be (4x-1)(3x+1) )

**Answer this Question**

**Related Questions**

Algebra - almost done with Algebra...help! 2 3x – 6(2x – 0.055) = 10x + 0.515 I ...

Math - I can't for the life of me solve this! 6x^2-23x+15=0 6x^2-23x+15 = (a x...

Discrete Math - Please help with this problem. Thanks a/ Show that for any real ...

Factoring Trinomials - Working on how to factor trinomials, and the method that ...

math - Have 2 questions: 1. Factor Trinomial competely x^2 + 8x + 53 (reads as x...

math - question is 40x^2 + 23x -30 = 0 reads as 40x squared plus 23x minus 30 ...

Math - Find x,y,z (solution set) 2x+y+32=13 x+3y-z=4 23x-2y+4z=11

math - The rectangle given has a perimeter of 14 units. Find the value(s) of x ...

Math 3 - Solve by factoring: One of the solutions to the quadratic equation x^2...

college algebra--need help please!! - solve the equation in the real number ...