Question

if a and b are the zeroes of the polynomial x^find
the
polynomial whose
zeroes are 1+b/a and 1+a/b​

Answer 1

${\huge{\green{\bold{Hola!!}}}}$

Formula to find polynomial from zeroes =

${\red{\boxed{x^2-(Sum)x+Product}}}$

Sum= 1+b/a +1+a/ba+b/a + b+a/bb(a+b)+a(b+a)/abab+b²+ab+a²/aba²+b²+2ab/ab

Product = (1+b/a)(1+a/b)

=1(1+a/b)+b/a(1+a/b)

=1+a/b+b/a+ab/ab=

1+a/b+b/a+1

=2+a²+b²/ab

Polynomial=> x²-(a²+b²+2ab/ab)x+(2+a²+b²/ab)=> x²-a²x-b²x-2abx/ab+ 2+a²+b²/ab=>x²+(a²x-b²x-2abx+2+a²+b²/ab)

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