Question

what is the quadratic polynomial whose roots are 9-5root3 and 9+5root 3
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Answer 1

Answer:

quadratic polynomial = x²-sum of zeroes +product of zeroes

quadratic polynomial=

$x {}^{2} - (9 - 5 \sqrt{3} + 9 + 5 \sqrt{3} )x + (9 - 5 \sqrt{3} )(9 + 5 \sqrt{3} )$

$x {}^{2} - 18x + (9) {}^{2} - (5 \sqrt{3} ) {}^{2}$

$x { }^{2} - 18x + 81 - 75$

$x {}^{2} - 18x + 6$

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