(Q13)Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients 4s
2
-4s+1.
Answer:
Given polynomial is 4s
2
-4s+1
We have 4s
2
-4s+1
=4s
2
-
s-2s+1
=2s(
s-1)-1(
s-1)
=(
s-1)(
s-1)
=(
s-1)
2
So,the value of 4s
2
-4s+1 is zero when
s-1=0 or s=
Zeros of the polynomial are
and
sum of the zeros =
+
=
= -
coefficient of s
coefficient of s
2
= -
-
4
=
product of the zeros = (
)× (
)=
=
constant term
coefficient of x
2
=
1
Clear