Question

please solve this question as soon as possible​

Answer 1

Answer:

Step-by-step explanation:

FOR THIS QUESTION:

if the polynomial is factorized of the form = (x-a)(x-b) =0

then the zeroes of the polynomial a and b

now here we have the zeroes as $3+\sqrt{2}$ and $3-\sqrt{2}$

therefore the factorized polynomial for these zeroes will be

(x - ($3-\sqrt{2}$))(x - ($3+\sqrt{2}$)) = 0

when we solve, we get

$x^{2} - 6x +(3-\sqrt{2})(3+\sqrt{2})$

when we use the identity (a+b)(a-b) = a2 - b2

$x^{2} - 6x + 9 - 2$

therefore our answer will be x^{2} - 6x + 7.

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