Find the value of k such that (2, 0) is is an x-intercept for the graph of
f(x) = kx^5 − x^2 + 3x + 6.

Question

Find the value of k such that (2, 0) is is an x-intercept for the graph of
f(x) = kx^5 − x^2 + 3x + 6.

kirbykirby · Answer

Since you have the coordinate (2, 0), try plugging in $x=2$ into the equation, and similarly you know the "y" value (i.e $f(x)$) is 0 . So try substituting those values into the equation and you should be able to solve for $k$

anonymous · Answer

I ended up doing that and getting 0=32k-4...

kirbykirby · Answer

ya that is good so far :) So now you have an equation involving one unknown, $k$, so you can try solving for $k$ using regular algebra

anonymous · Answer

So I did that and got 4/32 which reduces to 1/8 but the system im using tells me that answer is wrong...

kirbykirby · Answer

I didn't get 1/8. You were at
$0=32k-4+6+6$

anonymous · Answer

oh shoot I thought it was 6-6 which would be zero ok let me try it again...
SORRY

anonymous · Answer

so I got -1/4

kirbykirby · Answer

yeah :)

kirbykirby · Answer

I got that too

anonymous · Answer

THANK YOU!!!!

kirbykirby · Answer

your welcome :)