Answer:
- quotient: 10x +16
- remainder: 28x^2 +10x +22
Explanation:
The attachment shows the steps.
quotient: 10x +16
remainder: 28x^2 +10x +22
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Polynomial long division is easier than numerical long division because you only need to examine the first terms to determine the quotient term.
The first quotient term is 10x^4/x^3 = 10x.
The second quotient term is 16x^3/x^3 = 16.
When the leading dividend term is lower degree than the divisor, that dividend is the remainder.