math
posted by hailie on .
I'm supposed to factor this:
3z^217z+24
I used the quadratic equation, but I'm not sure if that's what I was supposed to use to get the answer. This is how I worked it...
(17)+/sqrt(17^24(3)(24)

2(3)
17+/sqrt(289288)

6
17 sqrt (1) = 17
 
6 6
is 17/6 correct?

the numbers are quite small, so a few trial and error runs would give you
(x3)(3x8)
your method should have given you
(17 +/ 1)/6 = 3 or 8/3
the root of 3 would have given the x3 factor
the 8/3 would yield the (3x8) factor 
(3z )(z  )
(3z 4 )(z 6 ) no
(3z 6)(z 4 )no
(3z 8)(z  3) YES 
oh :( okay I definitely used the wrong method then. trial and error is a lot less steps than I used. thank you