Question

Form the polynomial whose zeroes are 3+ √2 or 3-√2. ​

Answer 1

Answer:

Answer:Zeros : 3 + √2 ; 3 - √ 2General Form of a Quadratic Equation: ax² + bx + cHere b is the sum of roots, c is the product of roots.

Answer 2

$zeros\:are\:=> 3+\sqrt{2} \:and\:3-\sqrt{2} \\we\;know\:that,\\\\sum\:of\:roots= \frac{-b}{a} \\ = 3 +\sqrt{2} +3-\sqrt{2} \\= 6 \\products\:of\:roots= \frac{c}{a}\\=(3+\sqrt{2} )(3-\sqrt{2} )\\= (3)^2-(\sqrt{2} )^2\\= 7\\so, \\\frac{-b}{a} = 6 => b =-6 \\a= 1 \\\frac{c}{a} = 7 => c = 7 \\\\the\:polynomial\:is => x^2 -6x +7\\\\\tt{Hope\:it\:helps\:you!}$