Blessed olive branches at Easter: should you keep them or throw

When we go to Church on Palm Sunday, the last one before Easter, we receive a blessed olive branch. Where does this tradition come from?

Olive Branch Bible

Ash Wednesday: what it is about - Holyblog

The origins of Easter - Blog

Jewellery with the Tree of Life: Why and When to give - Blog

Why olive branches are sometimes used on Palm Sunday

Palm Sunday: Holy Week and the symbolism of the palm branch

What happens to your palm leaves? The rules for blessed palms

Jubilee of Mercy Logo: what is it and who designed it - Blog

Decorating Olive Branches for Palm Sunday