(Q3)Find the zeros of the quadratic polynomials given below.Find the sum and product of the zeros and verify relationship to the coefficients of terms in the polynomial p(x)=x2 - 4

Answer:

Given polynomial p(x)=x2 - 4

We have x2-4=(x- )(x+ )

So, the value of x2 - 4 is zero

when x- =0 or x+ =0

x= or x=-

so the zeros of x2-4 are and -

sum of the zeros= +(- )=

= -
coefficient of x
coefficient of x2
 =
1
 =

And product of the zeros = ×(- )= -

=
coefficient term
coefficient of x2
 =
-
1
 = -