Question

find all the zeroes of 2x degree 4 -3xdegree 3 - 3xdegree degree 2 + 6x - 2, if you know that two of its zeroes are plus - root 2and -root 2

Answer 1

Answer:

The answer is 1/2 and 1

Step-by-step explanation:

Let us form a new polynomial by √2 and -√2

α+β = √2-√2 = 0 αβ = √2x-√2 = -2

x² - ( α+β )x + αβ

x²-2

Let us divide 2xdegree 4 - 3x³ - 3x² + 6x -2 by x²-2

If we divide we will get quotient as 2x²-3x+1

Let us solve for x.

2x²-2x-x+1

2x(x-1) -1  (x-1)

(2x-1) (x-1)

x= 1/2 x= 1

Thank u

Hare Krsna