find a quadratic polynomial whose zeros are 5-3√2and 5+3√2
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Step-by-step explanation:
If 5±32 are roots of polynomial then
x−(5+32) and x−(5−32) are factors of the polynomial
∴[x−(5+32)][x−(5−32)]
=x2−x(5−32+5+32)+(5+32)(5−32)
=x2−10x+(25−9(2))
=x2−10x+7
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