Question

find the quadratic polynomial if the sum and product of the zeros are given as root 2 and minus 3 / 2 respectively

Answer 1

this can be helpful to you....

Answer 2

We know that every quadratic equation is based on this relation..
p(x) = kx² - (α+β)x + αβ where, α and β are the zeroes of given polynomial.
Now putting values of (α+β)and  αβ in above equation, we get ...
p (x) = x² - (√2)x + (-3/2) = 0x² - √2x - 3/2 = 0
Let us multiply both sides by 2, we get...
2x² - 2√2x -3 = 0
Hence, the required polynomial is 2x² - 2√2x -3.
Hope you got it......