I had a problem that states: "Determine all values of k such that x^2-kx-6 can be factored by x-2." I had no idea what the answer was and left it blank. Can you please tell me how i would go through doing a problem like that. Thank you.

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- Jan 30th 2006, 11:29 AMaussiekid90Pre-Calc Help Please!
I had a problem that states: "Determine all values of k such that x^2-kx-6 can be factored by x-2." I had no idea what the answer was and left it blank. Can you please tell me how i would go through doing a problem like that. Thank you.

- Jan 30th 2006, 12:35 PMThePerfectHackerQuote:

Originally Posted by**aussiekid90**

Now for the check, the polynomial is $\displaystyle x^2+x-6$ which factors into $\displaystyle (x+3)(x-2)$ thus, it works.

Q.E.D. - Jan 30th 2006, 04:13 PMaussiekid90
Would this be the only possiblity because the problem states find

*all*possible solutions for K - Jan 30th 2006, 04:48 PMThePerfectHackerQuote:

Originally Posted by**aussiekid90**