Find a cubic polynomial whose zeroes are 5, 3+√2,3-√2
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Answer:
given roots are 3,5,−2
therefore the cubic equation with above roots are (x−3)(x−5)(x−2)
simplifying it we get
(x−3)(x−5)(x+2)=(x2−8x+15)(x+2)=x3−6x2−x+30
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