im stuck on factoring (x-1)(2x^3+13x^2+8x-35)

Question

do i use synthetic division? if so what zero?
thnks.

Answer 1

synthetic division would be an easy way to check for roots p/q where p divides 35 and q divides 2.

Check for whole roots first: 1,5,7,35

A little trial shows that
2x^3+13x^2+8x-35 = (x+5)(2x^2+3x-7)