Choose the given statement is true/false.The two of the zeroes of 2x4-3x3-3x2+6x-2, are 2 and -2 , then the other zeros are 1 and -1.

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Choose the given statement is true/false.

The two of the zeroes of $2 x^{4} - 3 x^{3} - 3 x^{2} + 6 x - 2$ , are $\sqrt{2}$ and $- \sqrt{2}$ , then the other zeros are 1 and -1.

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True

False

answer is B.

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Detailed Solution

The above statement is false.
So,

(x - \sqrt{2})

and

(x + \sqrt{2})

are the factors of the polynomial.
Question Image

Factorize

2 x^{2} - 3 x + 1

2 x^{2} - 3 x + 1 = 2 x^{2} - 2 x - x + 1 = 2 x (x - 1) - 1 (x - 1) = (x - 1) (2 x - 1)

\Rightarrow x = 1

and

x = \frac{1}{2}

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