Determine which of the following binomials are factors of 6x^3-23x^2+29x-12 :
3x-2
3x+4
2x-3
3x+2
3x-4
If you could explain to me how you found the answers I would really appreciate it(;

Question

Determine which of the following binomials are factors of 6x^3-23x^2+29x-12  :
3x-2
3x+4
2x-3
3x+2
3x-4
If you could explain to me how you found the answers I would really appreciate it(;

anonymous · Answer

Substitute these 5 values of x into the polynomial f(x) to see if f(x) = 0. If so, then the binomial is a factor.
Example 1. 3x - 2 = 0 ->  x = 2/3.
f(2/3) = -54 . Conclusion: (3x - 2) is not a factor. Continue with others.

ranga · Answer

Equate each of the answer choices to zero and find the root.  2/3, -4/3, etc..
Then do synthetic division of   6  - 23 + 29 - 12 by each of the roots.
Those that give you a remainder of 0 are the factors.

anonymous · Answer

Thank you! :D