Question

Graph of a quadratic polynomial is a

(i) straight line
(ii) circle
(iii)parabola
(iv)ellipse

Answer 1

Tʜᴇ sᴏʟᴜᴛɪᴏɴs ᴛᴏ ᴛʜɪs ᴇϙᴜᴀᴛɪᴏɴ ᴀʀᴇ ᴄᴀʟʟᴇᴅ ᴛʜᴇ ʀᴏᴏᴛs ᴏғ ᴛʜᴇ ϙᴜᴀᴅʀᴀᴛɪᴄ ᴘᴏʟʏɴᴏᴍɪᴀʟ, ᴀɴᴅ ᴍᴀʏ ʙᴇ ғᴏᴜɴᴅ ᴛʜʀᴏᴜɢʜ ғᴀᴄᴛᴏʀɪᴢᴀᴛɪᴏɴ, ᴄᴏᴍᴘʟᴇᴛɪɴɢ ᴛʜᴇ sϙᴜᴀʀᴇ, ɢʀᴀᴘʜɪɴɢ, Nᴇᴡᴛᴏɴ's ᴍᴇᴛʜᴏᴅ, ᴏʀ ᴛʜʀᴏᴜɢʜ ᴛʜᴇ ᴜsᴇ ᴏғ ᴛʜᴇ ϙᴜᴀᴅʀᴀᴛɪᴄ ғᴏʀᴍᴜʟᴀ. Eᴀᴄʜ ϙᴜᴀᴅʀᴀᴛɪᴄ ᴘᴏʟʏɴᴏᴍɪᴀʟ ʜᴀs ᴀɴ ᴀssᴏᴄɪᴀᴛᴇᴅ ϙᴜᴀᴅʀᴀᴛɪᴄ ғᴜɴᴄᴛɪᴏɴ, ᴡʜᴏsᴇ ɢʀᴀᴘʜ ɪs ᴀ ᴘᴀʀᴀʙᴏʟᴀ.

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Answer 2

Answer:

The solutions to this equation are called the roots of the quadratic polynomial, and may be found through factorization, completing the square, graphing, Newton's method, or through the use of the quadratic formula. Each quadratic polynomial has an associated quadratic function, whose graph is a parabola.