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Answer:
f(x)=x2−2x+3 have zeroes α,β
⇒α+β=2
⇒α⋅β=3
Now polynomial having α+2,β+2 as roots is
p(x)=x2−(α+2+β+2)x+(α+2)(β+2)
=x2−(α+β+4)x+αβ+2(α+β)+4
=x2−(2+4)x+3+2(2)+4
⇒x2−6x+11
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