Question

What is the polynomial to the power of zero called? .​

Answer 1

Degree of the zero polynomial

Like any constant value, the value 0 can be considered as a (constant) polynomial, called the zero polynomial. It has no nonzero terms, and so, strictly speaking, it has no degree either. As such, its degree is usually undefined.

Answer 2

ᴅᴇɢʀᴇᴇ ᴏғ ᴛʜᴇ ᴢᴇʀᴏ ᴘᴏʟʏɴᴏᴍɪᴀʟ

ʟɪᴋᴇ ᴀɴʏ ᴄᴏɴsᴛᴀɴᴛ ᴠᴀʟᴜᴇ, ᴛʜᴇ ᴠᴀʟᴜᴇ 0 ᴄᴀɴ ʙᴇ ᴄᴏɴsɪᴅᴇʀᴇᴅ ᴀs ᴀ (ᴄᴏɴsᴛᴀɴᴛ) ᴘᴏʟʏɴᴏᴍɪᴀʟ, ᴄᴀʟʟᴇᴅ ᴛʜᴇ ᴢᴇʀᴏ ᴘᴏʟʏɴᴏᴍɪᴀʟ. ɪᴛ ʜᴀs ɴᴏ ɴᴏɴᴢᴇʀᴏ ᴛᴇʀᴍs, ᴀɴᴅ sᴏ, sᴛʀɪᴄᴛʟʏ sᴘᴇᴀᴋɪɴɢ, ɪᴛ ʜᴀs ɴᴏ ᴅᴇɢʀᴇᴇ ᴇɪᴛʜᴇʀ. ᴀs sᴜᴄʜ, ɪᴛs ᴅᴇɢʀᴇᴇ ɪs ᴜsᴜᴀʟʟʏ ᴜɴᴅᴇғɪɴᴇᴅ.