SOLUTION: Show that(3x-2) is a factor of (3x^3+x^2-20x+12

Algebra.Com
Question 1033287: Show that(3x-2) is a factor of (3x^3+x^2-20x+12
Answer by josgarithmetic(39621)   (Show Source): You can put this solution on YOUR website!
Polynomial division should yield a remainder of 0. This works like regular long division.

               x^2      x        -6
          ---------------------------------------- 
          |
3x-2      |   3x^3     x^2       -20x       12
          |   3x^3    -2x^2
          |________________
               0      3x^2      -20x
                      3x^2      -2x
                     _________________
                       0        -18x        12
                                -18x        12
                                _______________
                                 0           0

RELATED QUESTIONS

show that 3x-2 is a factor of 3x^2+x^2-20x+12. thank... (answered by nabla)
Given that {{{ x^2-3x+2 }}} is a factor of {{{ x^4+kx^3-10x^2-20x+24 }}}, evaluate the... (answered by Boreal,ikleyn)
Given that {{{ x^2-3x+2 }}} is a factor of {{{ x^4 + kx^3 - 10x^2 - 20x+24 }}} evaluate... (answered by ikleyn,MathTherapy)
I need to find all the factors of the polynomial: 3x^3+20x^2+23x-10. I already know that... (answered by richwmiller)
3x^2-20x-7+... (answered by scott8148)
Let f(x)=x^4+2x^3-7x^2-20x-12 If -2 is a zero, factor f(x) completely - please show... (answered by josgarithmetic,ikleyn)
To Factor a trinomial that is quadratic in form ?... (answered by palanisamy)
Find k such that x+2 is a factor of... (answered by robertb)
I have a question that states: use the factor theorem to find a polynomial which is not... (answered by stanbon)