Question

Find a quadratic polynomial whose zeroes are 2√5-3√2 and 2√5+3√2.

Answer 1

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

Answer 2

Answer:

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