Find the Quotient and Remainder Of $\frac { x ^ { 4 } + x ^ { 3 } + 2 x ^ { 2 } - x + 5 } { x ^ { 2 } - 1 }$

question 111

Essay

Find the quotient and remainder of $\frac { x ^ { 4 } + x ^ { 3 } + 2 x ^ { 2 } - x + 5 } { x ^ { 2 } - 1 }$ .

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Definitions:

SST

Sum of Squares Total, a measure in statistics used to quantify the variability within a dataset.

Sum Of Squares

A statistical measure used to describe the dispersion or variability within a data set, calculated as the sum of the squared differences from the mean.

Error

The difference between the observed value and the true value due to measurement or estimation inaccuracies.

Multiple Regression Analysis

A method in statistics that employs multiple predictor variables to estimate the result of a dependent variable.