Question

find the quadratic equation of 4x2-4x-3 verify the relation between its zeroes and coefficients

Answer 1

POLYNOMIALS

The given quadratic polynomial is,

p(x) =4x2 - 4x - 3

=> 4x2 - 6x + 2x - 3

=> 2x( 2x - 3) + 1(2x + 3)

=> (2x + 1) (2x-3)

p(x) = 0

(2x + 1) = 0 or (2x-3) = 0

x=-1/2 or x= 3/2

Hence, -1/2 and 3/2 are the zeroes of p(x).

Sum of zeroes = -1/2 + 3/2 = 2/2 = 1 =

Coefficient of x / Coefficient of x2

Product of zeroes = (-1/2)(3/2) = -3/4 =

Constant term/ Coefficient of x2

Hope this would help you!!^^