polynomial

[xcrush]

For what value or values of k will 3x^2 + kx + 12 = 0 have exactly one solution?

Can someone help me out with this?


--edit--

I need help on this one too..

The three zeros of a cubic function are -6, 1 and 2. Determine the leading coeffecient (of the x^3 term) if the y-intercept of the function is 48.

I don't think there is an answer for this one because the y-int is when x = 0. Whatever the leading coefficient is, it will always end up being the last number of the polynomial since it has no x attached to it. So for this case, I found the y-int to be 12. So it can never ben 48 no matter what the coefficient is.. right?

 

[pka]

The quadratic \(\displaystyle ax^2 + bx + c = 0\) has exactly one solution if \(\displaystyle b^2 - 4ac = 0\).


Any cubic with roots −6, 1 and 2 is: (x+6)(x−1)(x−2)=0.