Question

1. Find whether or not the second polynomial is a
factor of the first.

a). 8x4 + 10x – 5x2 - 4x + 1, 2x2 + x - 1.​

Answer 1

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 2

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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