Question

2.
Find all the zeroes of 2x4 – 3x3 3x2 – 3x² + 6x – 2, if you know that two of its zeroes are V2 -V2
PLEASE ANSWER
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Answer 1

Let p(x) = 2x4 - 3x3 - 3x2 + 6x - 2

Since x = zeroes of the given polynomial p(x),

(x + ) (x - ) will be a factor or x2 - 2 will be a factor of p(x).

We have:



2x2 - 3x+ 1 = 2x2 - 2x - x + 1

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

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

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

Thus, the other zeroes of p(x) are and 1.

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Hope this answer is helpful

Answer 2

Step-by-step explanation:

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