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If a and B are the zeroes of the quadratic polynomial f(x) = 2x2 - 5x + 7, find a polynomial whose zeroes are 2a+33 and 3a + 2B.

JEE/Engineering Exams
Maths
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Since, a and ß are zeroes of polynomial f(x)=2x2 - 5x+7. So, a+B=-(-5= and aß = Let S and P denote respectively the sum and product of zeroes of the required polynomial. Then, polynomial is p(x)=k(x2 - Sx+P)
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