Question

find all the zeros of F(X) = 2 x cube minus 2 x​

Answer 1

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Here's your answer

p(x) = 2x³-2x

p(x) = 2x(x²-1)

p(x) = 2x(x+1)(x-1)

Since p(x) is a third degree polynomial it will have 3 zeroes

Now we will equate p(x) to 0,

p(x) = 2x(x+1)(x-1) = 0

Now

2x = 0                        x+1 = 0                          x -1 = 0

x = 0                            x = -1                             x =1

Hence 0, 1 and -1 are the zeroes of p(x)

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Answer 2

Solution :- 0 , 1 , -1

To find the roots ,

F(X) = 0

2x³ - 2x = 0

2x(x² - 1) = 0

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

x = 0 , -1 , 1