(Q2)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- 4x+3

Answer:

Given polynomial p(x)=x2-4x+3

We have,x2-4x+3=x2- x-x+3

=x(x- )-1(x- )

=(x- )(x-1)

So, the value of x2-4x+3 is zero

when x- =0 or x-1=0

when x= or x=1 so, the zeros of x2-4x+3 are and 1

sum of the zeros = +1=

-
cofficient of x
cofficient of x2
 =
-(- )
1
 =

And product of the zeros = ×1=

constant term
cofficient of x2
 =
1
 =