To solve the problem we must know about Expressions.
What is Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The solution to the problem is [tex]x^2-2x+4 + \dfrac{2}{x + 3}[/tex].
To find
- divide x3 + x2 - 2x + 14 by x + 3
Solution
[tex]\dfrac{x^3 + x^2 - 2x + 14}{x + 3}[/tex]
[tex]= x^2+\dfrac{ -2 x^2 - 2x + 14}{x + 3}[/tex]
[tex]= x^2-2x+\dfrac{4x + 14}{x + 3}[/tex]
[tex]= x^2-2x+4 + \dfrac{2}{x + 3}[/tex]
Hence, the solution to the problem is [tex]x^2-2x+4 + \dfrac{2}{x + 3}[/tex].
Learn more about Division:
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