Question

since, ( alpha ) and ( beta ) are zeroes of polynomial ( f(x)=2 x^{2}-5 x+7 )
( mathrm{So}, alpha+beta=-left(-frac{5}{2}right)=frac{5}{2} ) and ( alpha beta=frac{7}{2} )
Let ( S ) and ( P ) denote respectively the sum and product of zeroes of the required polynomial. Then, polynomial is ( p(x)=kleft(x^{2}-S x+Pright) )

# 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.

Solution