Question

if -1 is a zero of the polynomial 2x³-x²-5x-2, find all other zeros ​

Answer 1

Answer:

-1/2 and 2

Step-by-step explanation:

x=-1 is a zero therefore x+1 is factor of the polynomial

On dividing 2x³-x²-5x-2 by x+1 we get

2x³-x²-5x-2 =(x+1)(2x²-3x-2) =(x+1)(x-2)(2x+1)

therefore zeros of polynomial are -1, 2, -1/2

Hence other zeroes except -1 are -1/2 and 2