1. Find whether or not the second polynomial is a
factor of the first.
a). 8x4 + 10x – 5x2 - 4x + 1, 2x2 + x - 1.
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1. Find whether or not the second polynomial is a
factor of the first.
a). 8x4 + 10x – 5x2 - 4x + 1, 2x2 + x - 1.
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ANSWER
x3−3x+1)x5−4x3+x2+3x+1(x2−1
−x5+−3x3−+x2
−x3+3x+1
+−x3−+3x+−1
2
Since remainder is non-zero.
Therfore,x3−3x+1 is not a factor of x5−4x3+x2+3x+1
ANSWER
x3−3x+1)x5−4x3+x2+3x+1(x2−1
−x5+−3x3−+x2
−x3+3x+1
+−x3−+3x+−1
2
Sɪɴᴄᴇ ʀᴇᴍᴀɪɴᴅᴇʀ ɪs ɴᴏɴ-ᴢᴇʀᴏ.
Tʜᴇʀғᴏʀᴇ,x3−3x+1 ɪs ɴᴏᴛ ᴀ ғᴀᴄᴛᴏʀ ᴏғ x5−4x3+x2+3x+1
Mᴀʀᴋ ᴀs Bʀᴀɪɴʟɪsᴛ❤
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