Sketch of x^3-2x^2+5 using synthetic division

[St@rbury]

Homework Statement

sketch f(x)=x^3-2x^2+5

Homework Equations

none

The Attempt at a Solution

i tried to uses synthetic division to bring it down to a lower power, but i can't remember what to do because i don't know any of the factors...

 

[rock.freak667]

Well first you would try to find factors such that f(a)=0, if f(a)=0 then (x-a) is a factor of f(x).

Seeing as how the last number there is 5, then you should try,1,-1,-5,5 and see if any are zero.

If you do not find it to be zero,then either it has complex roots or non-integer roots.
find where it cuts the f(x)-axis and x-axis. Find turning points(and whether they are max or min points) and try to sketch. If you need more help, reply back

 

[St@rbury]

it didnt work... and seeing as this was a homework question i don't think my teacher would have made it so complex...did i set up the synthetic division correctly?

5 | 1 -2 0 5
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[St@rbury]

yea...i set it up right..turns out that i didnt need to find the intercepts, and couldve just aproximated a sketch