Question

find all the zeros of 2 X raised to 4 - 3 x cube minus 3 X square + 6 x - 2, if you know that two of its zeros are root 2 and minus root 2​

Answer 1

Given

• A polynomial 2x⁴-3x³-3x²+6x-2
• If the roots of the given polynomial is √2 and -√2

To Find

• The other roots of given polynomial

Solution

• Here x-√2=0 & X+√2=0 (multiplying both)

x²-2=g(X)

Here for other roots we have to divide

g(X) in p(X)

Division procedure you can see in attachment

Quotient come = 2x²-3x+1

Now spilt the middle term

2x²-3x+1

=> 2x²-2x-x+1

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

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

=>X = 1/2, 1

Hence the roots be 1/2 and 1

Answer 2

Answer:

Step-by-step explanation: