(Q4)Find the zeroes of the qudratic 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+2x+1

Answer:

Given polynomial p(x)=x2+2x+1

We have x2+2x+1=x2+ +x+1

=x(x+ )+ (x+1)

=(x+ )(x+ )

So,the value of x2+2x+1 is zero

when x= - or -

So, the zeros of x2+2x+1 are - and -

sum of the zeros =(- )+(- )= -

= -
coefficient of x
coefficient of x2
 =
-
1
 = -

And product of the zeros =(- )×(- )=

=
constant term
coefficient of x2
 =
1
 =