Question

Someone explain this:
synthetic division​

Answer 1

sʏɴᴛʜᴇᴛɪᴄ ᴅɪᴠɪsɪᴏɴ ɪs ᴀ sʜᴏʀᴛʜᴀɴᴅ, ᴏʀ sʜᴏʀᴛᴄᴜᴛ, ᴍᴇᴛʜᴏᴅ ᴏғ ᴘᴏʟʏɴᴏᴍɪᴀʟ ᴅɪᴠɪsɪᴏɴ ɪɴ ᴛʜᴇ sᴘᴇᴄɪᴀʟ ᴄᴀsᴇ ᴏғ ᴅɪᴠɪᴅɪɴɢ ʙʏ ᴀ ʟɪɴᴇᴀʀ ғᴀᴄᴛᴏʀ -- ᴀɴᴅ ɪᴛ ᴏɴʟʏ ᴡᴏʀᴋs ɪɴ ᴛʜɪs ᴄᴀsᴇ. sʏɴᴛʜᴇᴛɪᴄ ᴅɪᴠɪsɪᴏɴ ɪs ɢᴇɴᴇʀᴀʟʟʏ ᴜsᴇᴅ, ʜᴏᴡᴇᴠᴇʀ, ɴᴏᴛ ғᴏʀ ᴅɪᴠɪᴅɪɴɢ ᴏᴜᴛ ғᴀᴄᴛᴏʀs ʙᴜᴛ ғᴏʀ ғɪɴᴅɪɴɢ ᴢᴇʀᴏᴇs (ᴏʀ ʀᴏᴏᴛs) ᴏғ ᴘᴏʟʏɴᴏᴍɪᴀʟs.

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Answer 2

Answer:

Synthetic division is a shorthand, or shortcut, method of polynomial division in the special case of dividing by a linear factor -- and it only works in this case. Synthetic division is generally used, however, not for dividing out factors but for finding zeroes (or roots) of polynomials.