Question

Find a quadratic polynomial whose sum and product of zeroes is 5 and 3 respectively​

Answer 1

Given: Sum and product of zeroes are 5 and 3.

To find: A quadratic polynomial.

Solution:

• Now we have provided with sum of zeroes as 5 and product of zeroes as 3.

• Let the two roots be α and β, then:

              sum of zeroes will be:

              α + β = 5

              product of zeroes  will be:

              αβ = 3

• Now the quadratic equation is:

              x² - (α+β)x + αβ = 0

              x² - (5)x + 3 = 0

              x² - 5x + 3 = 0

Answer:

            So the equation is x² - 5x + 3 = 0