Question

plz...help me with this pb...
write the relationship between zeroes and coefficients of the polynomial
x³-13x²+52x-60...

hope i receive this pb on time...

Answer 1

Hiii friend,

Let alpha , beta and gamma are the zeroes of the given polynomial.

P(X) = X³-13X² +52X -60

Here,

A = 1 , B = -13 , C = 52 and D = -60


Relationship between the zeroes and the coefficient.


Sum of zeroes = - ( Coefficient of X²)/Coefficient of X³


Alpha + Beta + Gamma = -(-13)/1

Alpha + Beta + Gamma = 13


And,


Product of zeroes = -(Constant term)/Coefficient of X³


Alpha × Beta × Gamma = -(-60)/1

Alpha × Beta × Gamma = 60



HOPE IT WILL HELP YOU...... :-)