Question

find all the zeroes of 2x⁴-3x³-3x²-6x-2, if it is given two of its zeroes are 1 and ½​

Answer 1

Answer:

-1 and +1

Step-by-step explanation:

let,

1=b

1/2=a

and c and d be the all four zeros of the polynomial.

we know that,

a+ b+ c+ d=-B/A

that is -(-3)/2

so, 1+1/2+c+d=3/2

so, c+d=0,c=-d

abcd= E/A

that's -2/2=-1

1 ×1/2× c × d =-1

so, c×d=-2

-d(d) =-2

d^2=2

d=√2

hence c=-√2