Question

find all the zeroes of 2x^4+x^30-14x^2

Answer 1

first given zeros are -2 and -1
thus factors =(x+2) & (x+1)
solve them, we get =x Sq. +3x+2
now divide f(x) by x Sq.+3x+2
on dividing, q(x)=2x sq.-5x-3
now the splitting the middle term and you will get two values-->(2x+3) & (x-1)

(2x+3)----> x= -3/2
(x-1)-----> x=1
thus , the four Zeroes are 1, -1,-2 & -3/2