Question

IF α and β are the zeros of f(x)=4x^2-5x-1, find the value of α^4β^3 +α^3β^4​

Answer 1

Step-by-step explanation:

4x²-5x-1 a=4 ,b=-5 ,c=-1

sumof zero=-b/a

=-(-5)/4=5/4

product of zero =c/a= -1/4

a⁴+b³+a³+b⁴

a³b³(a+b)

ab³(a+b)

(-1/4)³(5/4)

-1/64×5/4

-5/256