Question

sum of zeroes =√5and product of zeroes 3/4 find quadratic polynomial​

Answer 1

Answer:

4x²-4√5x+3 is required polynomial

Step-by-step explanation:

Let zeroes be a and b

Sum of zeroes=a+b=√5

Product of zeroes=ab=3/4

General form of polynomial

p(x)=x²-(a+b)x+ab

p(x)=x²-√5x+3/4

    =(4x²-4√5x+3)/4

let k=1/4

p(x)=k(4x²-4√5x+3)

we can substitute any value in place of k

if k=1 then p(x)=4x²-4√5x+3