Question

1. 4s² - 4s + 1 find the zeroes of quadratic polynomials and verify the relationship between zeroes and the co-efficients.

Answer 1

Step-by-step explanation:

4s^2-4s+1 a=4 b=-4 c=1

4s^2-2s-2s+1

2s(2s-1)-1(2s-1)

(2s-1)(2s-1)

2s=1 2s=1

s=1/2 s=1/2

sum of zeroes=-b/a

= -(-4)/4

=4÷4=1

sum of zeroes=1/2+1/2

=1+1/2

= 2÷2=1

product of roots=c/a

=1÷4=1/4

product of roots= 1/2×1/2=1/4