Question

find the zeros of a quadratic polynomial 4 x square - 4 x + 1 and verify the relationship between zeros and the coefficient​

Answer 1

Answer:

Step-by-step explanation:

the equation is 4x²-4x+1

= 4x²-4x+1

= 4x²-2x-2x+1

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

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

α=1/2 and β=1/2

now α+β = -coefficent of x/coefficent of x² = -(-4)/4= 1

now α+β=1/2+1/2

             = 2/2 = 1

now αβ = constant term / coefficent of x² = 1/4

now αβ = 1/2 x 1/2

            = 1/4

Answer 2

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