Question

3) Find the zeroes of 4x²-4x+1 and find the relationship between the zeroes and the coefficients .​

Answer 1

Step-by-step explanation:

we have 4x² - 4x + 1

4x² - 2x -2x +1

2x(2x -1) - 1(2x - 1)

(2x - 1) (2x-1)

so, zero of the polynomial is

2x-1 =0 and. 2x-1=0

x = 1/2 x = 1/2

so we get 1/2 and 1/2 as zeros.

relationship between the zeros and coefficients

sum of zeros = 1/2 + 1/2 = 1

- (coefficient of x/coefficient of x²) = -(-4/4) = -(-1)

= 1

hence,sum of zeros = -(coefficient of x/coefficient of x²)

product of zeros = 1/2 * 1/2 = 1/4

constant term/coefficient of x² = 1/4

hence,product of zeros = constant term/coefficient of x².

Hope this will help you .