Question

Find all the zeros of 2 x 4 - 3 x cube minus 3 x square + 6 x minus 2 if is 2002 and minus 52

Answer 1

hence the factors are (x - √2) and (x+ √2) since x=√2 and x= -√2

if you multiply both you'll get x2 - 2

when you divide 2x4 - 3x3 - 3x2 + 6x - 2 by x2 - 2 since it is divisible by 2x4 - 3x3 - 3x2 + 6x - 2

the quotient will turn out to be 2x2 - 3x + 1

Now lets factorise this equation,

=>2x2 - 3x + 1=0

=>2x2 -2x -1x + 1 =0

=>2x(x - 1) -1(x - 1)=0

=>(2x - 1)(x - 1)=0

therefore 2x - 1=0 or x-1=0

which implies x=1/2 or x=1

here you have it the remaining two roots

Hope you get it

Answer 2

here is the answer mate