Question

Weite the polynomial whose sum and product of zeroes are 0 and -36.

Answer 1

sum=0. and product=-36

x²-(0)x+(-36)

x²-36

Answer 2

Here, sum and product of zeroes of a quadratic polynomial are 0 and -36 respectively. We've to find the quadratic polynomial by this information.

We know that formula for finding the quadratic polynomial is :

x² - (sum of zeroes)x + product of zeroes

x² - (α + β)x + (αβ)

Here,

• α + β = 0
• αβ = -36

Now put the values in the formula

=> x² - (α + β)x + (αβ)

=> x² - (0)x + (-36)

=> x² - 36

∴ Hence, the quadratic polynomial is x² - 36