Question

Find a quadratic polynomial whose zeros are (5+2root 3)(5-2root3)
10th class 《polynomials》

Answer 1

$heya \\ here \: the \: zeroes \: are \: (5 + 2 \sqrt{3} )and \: (5 - 2 \sqrt{3)} \\ = > sum \: of \: zeroes \: = 5 + \sqrt{3} + 5 - 2 \sqrt{3} = 10 \\ = > product \: of \: zeroes \: = (5 \ + 2 \sqrt{3})(5 - 2 \sqrt{3} ) = 25 - 12 = 13 \\ = > p{x} = {x}^{2} - (sumof \: zeroes)x + (product \: of \: zeroes) \\ = > {x}^{2} - 10x + 13 \\ \\ \\ hope \: this \: helps \: you$