Fewpal
+3 votes
440 views
in Mathematics by (35 points)
If alpha and beta are the zeroes of the quadratic polynomial f(x)=x

1 Answer

+2 votes
by (25.9k points)
 
Best answer

Given : α and ß are zeroes of f(x) = x2 – 2x + 3

So,

Now, (α + 2) + (ß + 2) = α + ß + 4 = 2 + 4 = 6

and (α + 2) (ß + 2) = αß + 2 (α + ß) + 4 = 3 + 2 × 2 + 4 = 11

So required polynomial is x2 – 6x + 11

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