Question

obtain all other zeros of the polynomial 2x⁴-3x³-3x²+6x-2 if two of its zeros are√2 and-√2.​

Answer 1

Answer:

The other two zeroes are 1 and 1/2

Step-by-step explanation:

if -√2 and √2 are the zeroes so x²-2 is a factor of the 2x⁴-3x³-3x²+6x-2 {f(x)} .Now divide f(x) by x²-2

x²-2)2x⁴-3x³-3x²+6x-2( 2x²-3x+1

2x⁴. - 4x²

(-) (+)

------------------------------------

-3x³+x²+6x

-3x. +6x

(+). (-)

---------------------------------

x²-2

x²-2

----------------------------

0

----------------------------

Now factorize the quotient

2x²-3x+1

2x²-2x-x+1

2x(x-1) -1(x-1)

(x-1) (2x-1)

x=1 or x=1/2

Hope it helps you

so marks me as brainleast