Why couldn't you use synthetic division for the following problern? Make sure to explain fully. (4x^(3) + 3x {}^(2) + x - 11) / (x ^(2) + 1) ​

Question

Why couldn't you use synthetic division for the following problern? Make sure to explain fully.


`(4x^(3) + 3x {}^(2) + x - 11) / (x ^(2) + 1)`
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Answer 1

Because x²+1 has an imaginary solution so you can’t find a value to put on the side for synthetic division