how do you find zeros of polynomials with a degree greater than 3?

Question

anonymous · Answer

do you have a graphing calculator?

anonymous · Answer

Nope we have to use synthetic division then factor

anonymous · Answer

there is a long formula for degree 3, and even longer one for degree 4 and it has been proven that there can never be one for degree 5
however, if it was cooked up by your math teacher, try the possible integer or rationals roots

anonymous · Answer

How do you factor it if there is 4 terms(2X cubed-13x squared +10x +25

anonymous · Answer

best way is to find the zeros first, factor second 
that is, find one zero first

anonymous · Answer

$$2x^3-13x^2+10x+25=0$$ if it has any rational zeros, they are $\pm1,\pm5,\pm25$ or 
$\pm\frac{1}{2},\pm\frac{5}{2},\pm\frac{25}{2}$

anonymous · Answer

try the smaller ones first

anonymous · Answer

in fact, the easiest one other than 1 (which doesn't work) to try is $-1$ and it will work
then factor as 
$$(x+1)(\text{whatever})$$