an example for quadratic polynomial that has no zeroes
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A simple example of a quadratic polynomial with no real zeroes is x^2 + 1
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ᴀ ǫᴜᴀᴅʀᴀᴛɪᴄ ᴘᴏʟʏɴᴏᴍɪᴀʟ ᴛʜᴀᴛ ʜᴀs ɴᴏ ᴢᴇʀᴏs ɪs :
✒ x² - 2x + 5 = 0
Let,
- a = 1
- b = -2
- c = 5
Discrimination (∆) = b² - 4ac
➡ (-2)² - 4(1)(5)
➡ 4 - 20
➡ -16
ʜᴇɴᴄᴇ, ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ ᴅɪsᴄʀɪᴍɪɴᴀᴛɪᴏɴ ɪs ɴᴇɢᴀᴛɪᴠᴇ, ɪ.ᴇ. ʟᴇss ᴛʜᴀɴ ᴢᴇʀᴏ.
ᴛʜᴇʀᴇғᴏʀᴇ, ᴛʜᴇ ǫᴜᴀᴅʀᴀᴛɪᴄ ᴘᴏʟʏɴᴏᴍɪᴀʟ ᴡɪᴛʜᴏᴜᴛ ᴢᴇʀᴏᴇs ɪs “ x² - x + 5 ”
↪ ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs ʏᴏᴜ.
↪ ᴛʜᴀɴᴋ ᴍʏ ᴀɴsᴡᴇʀ.
Step-by-step explanation:
þLÈÄ§È MÄRK MÈ Ä§ ßRÄÌñLÌȧ†✌✌✌
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