Question

find the quadratic polynomial with the numbers given below as sums and product of its zeroes
8/3,7​

Answer 1

Answer:

Sum = 8/3

Product = 7

General form of an quadratic equation = $ax^{2}$ + bx + c

       $x^{2}$ - (Sum of the Zeroes)x + Product of the Zeroes

      $x^{2}$  -(8/3)x + 7

      $x^{2}$ - $\frac{8x}{3}$ + 7

       After Taking LCM

      3( $\frac{ 3x^2 - 8x +21}{3}$)          ( We can divide or Multiply a polynomial with any number if required so to eliminate 3 from denominator we have done the same)

    Therefore,

                      $3x^{2}$ - 8x + 21 is the required Quadratic Polynomial.

Hope it helps You Mate !