Question

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

Answer 1

Answer:

x^2-sx+p. where s is sum and p is product

Answer 2

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

$\huge{\tt{\colorbox{pink}{AnswEr:}}}$

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