Posted by **hailie** on Monday, February 16, 2009 at 8:27pm.

I'm supposed to factor this:

3z^2-17z+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(-17^2-4(3)(24)

---------------------------

2(3)

17+/-sqrt(289-288)

------------------

6

17 sqrt (1) = 17

----------- ----

6 6

is 17/6 correct?

- math -
**Reiny**, Monday, February 16, 2009 at 8:42pm
the numbers are quite small, so a few trial and error runs would give you

(x-3)(3x-8)

your method should have given you

(17 +/- 1)/6 = 3 or 8/3

the root of 3 would have given the x-3 factor

the 8/3 would yield the (3x-8) factor

- math -
**Damon**, Monday, February 16, 2009 at 8:45pm
(3z- )(z - )

(3z- 4 )(z -6 ) no

(3z- 6)(z -4 )no

(3z- 8)(z - 3) YES

- math -
**hailie**, Monday, February 16, 2009 at 9:15pm
oh :( okay I definitely used the wrong method then. trial and error is a lot less steps than I used. thank you

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