For an assignment in my Algebra 2 class we have to find the rational zeros of the equation then write it in factored form.
I am a little lost and don't really get it
Equation:
h(x)=x3−5x2+2x+8h(x)=x3−5x2+2x+8
I have tried first getting the rational zeros and got
1,2,4,81,2,4,8
Then using synthetic substition
22 | 1 −5 2 8
____2 -6 -8____
From that i got
1x3 −3 −4 and finally 0
Then wrote it into a function
h(x)=(x−2)(x2−3x−4x)
Which i don't know if it is correct, i also don't know what they mean by factor it
It would be helpful if you could show all you steps so i can actaully learn how to do it myself.
Thanks in advance!