Question

find the zero of the following quadratic polynomial and verify the relationship between the zeros and coefficient. question = 4 x square - 4 x + 1

Answer 1

4xsquare -4xplus 1
4x square -2x-2x plus 1
(4x square -2x) - (2x - 1 )
2x(2x-1) - 1(2x-1)
(2x-1) (2x-1)
, 4xsquare -4x plus 1 will be zeroes
where,
2x-1= 0
x= 1/2
or,
2x-1=0
x= 1/2
required zeroes =1/2 ,1/2
alpha plus beeta =1/2 plus 1/2 =2/4=coeff.of x/coeff. of x square
alpha beeta = 1/2 into 1/2 = 1/4 = constant/ coeff. of x square

Answer 2

mark as the branliests 4xsquare -4xplus 1
4x square -2x-2x plus 1
(4x square -2x) - (2x - 1 )
2x(2x-1) - 1(2x-1)
(2x-1) (2x-1)
, 4xsquare -4x plus 1 will be zeroes
where,
2x-1= 0
x= 1/2
or,
2x-1=0
x= 1/2
required zeroes =1/2 ,1/2
alpha plus beeta =1/2 plus 1/2 =2/4=coeff.of x/coeff. of x square
alpha beeta = 1/2 into 1/2 = 1/4 = constant/ coeff. of x square