Question

Find a quadratic polynomial whose zeroes are 5 – 3 √2 and 5 + 3√2

Answer 1

Answer:

3589911112346

Step-by-step explanation:

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Answer 2

$let \: the \: zeroes \:5 + - 3\sqrt{2} \: \: be \: \alpha \:and \beta$

$sum = \alpha + \beta$

$sum = 5 - 3\sqrt{2} + 5 + 3 \sqrt{2}$

$sum = 10$

$product = \alpha \beta$

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

$product = 7$

$now$

$quadratic \: polynomial$

${x}^{2} - 10x + 7$

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