Question

Find the zeroes of a polynomial I am giving down and verify the relationship between the zeroes and the coefficients.

?4s(square)-4s+1

Answer 1

Question should be:

• Find the zeroes of a polynomial 4s²-4s+1 and verify the relationship between the zeroes and the coefficients.

GIVEN:

• P(s) = 4s²-4s+1

TO FIND:

• Zeros and to verify the relationship between zeros and coefficients.

SOLUTION:

=> 4s²-4s+1 = 0

=> (2s)²-2(2s)(1)+(1)² = 0

=> (2s-1)² = 0

=> (2s-1)(2s-1) = 0

Either (2s-1) = 0

=> 2s = 1

=> s = 1/2

Zeros of P(s) is 1/2 and 1/2

Sum of zeros

= 1/2+1/2

= 2/2

= 1/1

Multiplying numerator and denominator by 4 we get;

= 4/4

=> -(-4)/4 = -(Coefficient of x)/Coefficient of x²

Product of zeros

= (1/2)(1/2)

=> 1/4 = constant term/Coefficient of x²

Verified