By using long division to the polynomial, we obtain the expression [tex]\frac{2x^2+11x-21}{x+3}[/tex] as [tex]2x+5-\frac{36}{x+3}[/tex].
Given expression;
[tex]\frac{2x^2+11x-21}{x+3}[/tex]
For the given expression applying polynomial long division, we get;
⇒ [tex]\frac{2x^2+11x-21}{x+3}[/tex]
[tex]=2x+\frac{5x-21}{x+3}[/tex]
[tex]=2x+5+\frac{-36}{x+3}[/tex]
[tex]=2x+5-\frac{36}{x+3}[/tex]
Hence, by using long division on the polynomial we get an expression equivalent to [tex]\frac{2x^2+11x-21}{x+3}[/tex] as [tex]2x+5-\frac{36}{x+3}[/tex].
To learn more about long division click here:
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