Question

find a quadratic polynomial whose zeroes are root15 and -root15​

Answer 1

Answer:

Step-by-step explanation:

α = √15

β = -√15

Sum of zeroes

α + β = √15 + -√15

         = 0

Product of zeroes

αβ = √15 * -√15

     = -15

Now

x² - (α + β) + αβ

= x² - 15

Answer 2

Answer:

Step-by-step explanation:if a and b are roots of the polynomial then quadratic equation =(x-a)(x-b)

therefore (x-√15)(x+√15)

x²-√15x+√15x-15

x²-15 ans