if alpha and beta are the zeros of the polynomial 2x^2-4x+5 then find the value of alpha cube+ beta cube
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let alpha be A
and beta be B
sum of zeroes =A+B=-b÷a=4÷2=2
product of zeros=AB=c÷a=5÷2
A^3+B^3=(A+B)(A^2+B^2-AB)
=2((2)^2-2(2)-5÷2)
2(4-4-5÷2)
2(-5÷2)
-5
and beta be B
sum of zeroes =A+B=-b÷a=4÷2=2
product of zeros=AB=c÷a=5÷2
A^3+B^3=(A+B)(A^2+B^2-AB)
=2((2)^2-2(2)-5÷2)
2(4-4-5÷2)
2(-5÷2)
-5
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