Question

Find the quadratic polynomial if its zeroes are 0, √5.

Answer 1

Answer:

A quadratic polynomial can be written using the sum and product of its zeroes as:

x2 – (α + β)x + αβ

Where α and β are the roots of the polynomial.

Here, α = 0 and β = √5

So, the polynomial will be:

x2 – (0 + √5)x + 0(√5)

= x2 – √5x

Answer 2

Answer:

A quadratic polynomial can be written using the sum and product of its zeroes as:

x2 – (α + β)x + αβ

Where α and β are the roots of the polynomial.

Here, α = 0 and β = √5

So, the polynomial will be:

x2 – (0 + √5)x + 0(√5)

= x2 – √5x