Find all zeros (real and imaginary) for each polynomial.

2x^3 - 11x^2 +10x + 8

Question

Find all zeros (real and imaginary) for each polynomial.

2x^3 - 11x^2 +10x + 8

anonymous · Answer

i am going to make a guess that this is 
$$2x^3 - 11x^2 +10x + 8$$

anonymous · Answer

Oh, yes it is. Sorry.

anonymous · Answer

a) first try the obvious possible rational zeros, namely 1 and -1
unfortunately neither of them work, so 

b) move on and try  2
2 will actually work, so 

c) you can factor this as $(x-2)(\text{somthing})$ and you can find the second factor by long division, synthetic division, or pure reason

d) then you will have a quadratic.
this one will factor too, but if you don't see it you can use the quadratic formula

anonymous · Answer

Coudn't you use Newton's method too?

anonymous · Answer

you could if you wanted to do a ton of work, and didn't know one of the zeros was 2
once you have one zero, you are home free

anonymous · Answer

Thank you so much again! It's really late and it has been a long day and everything I've learned just seemed to disappear. Thanks again!

anonymous · Answer

yw