Question

obtain all the zeros of the polynomial FX equal to 2 x power 4 minus 3 x cube minus 3 X square + 6 x minus 2 if two of its zeros are root 2 and minus root 2

Answer 1

Hii friend,

✓2 and -✓2 are the factor of the given polynomial.

(X-✓2) (X+✓2) are the factor of the polynomial 2X⁴-3X³-3X²+6X-2.

Therefore,

(X-✓2) (X+✓2) = X²-(✓2)² = X²-2.

Divide the polynomial 2X⁴-3X³-3X²+6X-2 by X²-2.

We get,

Quotient = 2X²-3X+1

Factories the Quotient,

2X²-3X+1

2X²-2X-X+1

2X(X-1) -1 ( X-1)

(X-1)(2X-1)

X-1 = 0. OR 2X-1 = 0

X = 1. OR 2X = 1

X = 1. OR X = 1/2


Hence,

The other two zeros of the polynomial is 1 and 1/2.


HOPE IT HELPS!!!!

Answer 2

Here is ur answer.

Hope it helps you...