Question

Find the zeroes of quadratic polynomial, if the sum and product of zeroes are √2 and -3/2 respectively.​

Answer 1

Answer:

The quadatic polynomial.

Step-by-step explanation:

Sum of the zeros (S) =25−3

  Product of the zeros (P) =2−1

The, the required polynomial is given,

  p(x)=k(x2−Sx+P)

⇒p(x)=k(x2+253x−21)

⇒p(x)=25k(25x2+3x−5)

where k is a non zero real number

Zeros of the polynomial are

   p(x)=0

⇒25k(25x2+3x−5)=0

⇒25x2+3x−5=0

⇒25x