Question

Find the quadratic polynomial, each with the given numbers as the sum and product of
its zeroes respectively.

Answer 1

Answer:

Hello! Here is the answer and step-by-step explanation:

Step-by-step explanation:

let the zeroes of this quadratic polynomial be  and

Now it is given that,  = -√2 and

Also,

Quadratic polynomial = x²-[(sum of zeroes)x+product of zeroes]

⇒ x²+√2x+√3 is the answer.

Hope it helps!

-XxvKittyvxX

Answer 2

❥︎❥︎ANSWER࿐

sᴜᴍ ᴀɴᴅ ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴡʜᴏsᴇ ᴢᴇʀᴏs ᴀʀᴇ √2 ᴀɴᴅ 1/3 ʀᴇsᴘᴇᴄᴛɪᴠᴇʟʏ. ᴡʜᴇʀᴇ ᴋ/3 ɪs ᴀ ᴄᴏɴsᴛᴀɴᴛ ᴛᴇʀᴍ, ʀᴇᴀʟ ɴᴜᴍʙᴇʀ. ʀᴇsᴘᴇᴄᴛɪᴠᴇʟʏ. ʜᴇɴᴄᴇ, ʀᴇǫᴜɪʀᴇᴅ ᴘᴏʟʏɴᴏᴍɪᴀʟ ɪs 4x2 + x + 1.