Question

factorize :x2-2√2x-30

Answer 1

refer to the above pic

Answer 2

Answer:

$x^{2}-2\sqrt{2}x-30=(x-5\sqrt{2})(x+3\sqrt{2})$

Step-by-step explanation:

$Given \: quadratic \: polynomial :\\x^{2}-2\sqrt{2}x-30$

/* Splitting the middle term,we get

$= x^{2}-5\sqrt{2}x +3\sqrt{2}x-30$

$= x^{2}-5\sqrt{2}x +3\sqrt{2}x-3\sqrt{2}\times 5\sqrt{2}$

$= x(x-5\sqrt{2})+3\sqrt{2}(x-5\sqrt{2})\\=(x-5\sqrt{2})(x+3\sqrt{2})$

Therefore,

$x^{2}-2\sqrt{2}x-30=(x-5\sqrt{2})(x+3\sqrt{2})$

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