Question

to check whether root 2 and minus 2 root 2 are the zeros of polynomial x power square + root 2 x minus 4​

Answer 1

let alpha and beta be the two zeros of given polynomial.

Alpha = √ 2

and beta = - 2 √ 2.

put x = √ 2 we have

${ ( \sqrt{2} ) }^{2} + \sqrt{2} \times \sqrt{2} - 4 \\ = 2 + 2 - 4 \\ = 0$

now put x = - 2 √ 2

${( - 2\sqrt{2}) }^{2} + \sqrt{2} \times ( -2 \sqrt{2} ) - 4 \\ = 8 - 4 - 4 \\ = 0$

so √ 2 & - 2 √ 2 are the zeros of given polynomial

Answer 2

Answer:

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