if 5 and B are sum and product
of roots find polynomial.
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The product of the roots is (5 + √2) (5 − √2) = 25 − 2 = 23. And we want an equation like: ax 2 + bx + c = 0 . When a=1 we can work out that: Sum of the roots = −b/a = -b; Product of the roots = c/a = c; Which gives us this result. x 2 − (sum of the roots)x + (product of the roots) = 0. The sum of the roots is 10, and product of the ...
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