(Q16)Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients t2-15.

Answer:

Given polynomial is t2-15

we have,t2-15=(t-√)(t+√15)

the value of t2-15 is 0

when the value of (t-√)(t+√15)=0

when t-√=0 or t+√15=0

when t=√ or t=-√15

the zeros of t2-15 are √ and -√15

therefore sum of the zeros =√+(-√15)=

= -
coefficient of t
coefficient of t2
= -
1
=

product of tbe zeros √×(-√15+)= -

=
constant term
coefficient of t2
=
-
1
=-