Question

Find all the zeroes
of the polynomial 2x³ - 4x-x²+2, if two of its zeroes are √2 and -√2​

Answer 1

Answer:

x=1/2

Step-by-step explanation:

Given:-

polynomial = 2x³-x²-4x+2

the two roots are:- √2 and -√2

for finding third root the steps are:-

x=√2 and x=-√2........multiply both roots

(x-√2)(x+√2)=0

x²-2=0----------(i)

Divide polynomial by (i) we get....

2x³-x²-4x+2/x²-2= 2x-1

compare 2x-1 with zero we get.....

2x-1=0

x=1/2