Question

devide polynomial x^3+1by x+1​

Answer 1

Answer:

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☞ ᴡᴇ ʜᴀᴠᴇ x³+1 = (x+1) (x²−x+1).

ɴᴏᴡ,

$➝\frac{x³+1}{(x + 1)} ⇒ x+1 \frac{(x + 1)( {x}^{2} - x + 1) }{(x + 1)}$

➝ (x²−x+1).

➟ sᴏ ᴡʜᴇɴ x³ +1 ɪs ᴅɪᴠɪᴅᴇᴅ ʙʏ (x+1)

ᴛʜᴇɴ ᴛʜᴇ ϙᴜᴏᴛɪᴇɴᴛ ʙᴇ x²−x+1 ᴀɴᴅ ᴛʜᴇ ʀᴇᴍᴀɪɴᴅᴇʀ ᴡɪʟʟ ʙᴇ 0

[ sɪɴᴄᴇ x³+1 ɪs ᴘᴇʀғᴇᴄᴛʟʏ ᴅɪᴠɪsɪʙʟᴇ ʙʏ (x+1)].

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