Question

The sum of two zeroes of the polynomial f(x)=4x²-4x+1 is *​

Answer 1

Answer:

Given⤵

➡f(x) = 4x²-4x+1

To find ⤵

➡Sum of zeros

Solution⤵

⚫By Factorisatio method

➡4x²-4x+1

➡4x²-2x-2x+1

➡2x(2x-1) -1(2x-1)

➡(2x-1) (2x-1)

➡(2x-1) =0 or (2x-1) =0

⚫On doing 2x-1= 0 , we get 2x= 1 , x= 1/2

➡x= 1/2 or x=1/2

⚫Hence 1/2 and 1/2 are zeros of polynomial.

⚫On adding it

$\frac{1}{2} + \frac{1}{2} \\ \frac{1 + 1}{2} \\ \frac{2}{2}$

⚫On dividing 2/2 it comes 1 .

➡1

✅Hence sum of zeros is 1.

⚫By formula method

✔Sum of zeros = -b /a

➡4x²-4x+1

⚫Here a= 4 , b= -4 and c= 1

➡ -(-4) /4

➡1

⚫Other extra points

✔Multiply of zeros = c/a

Hope this is helpful to you!