ULTIPLE CHOICE: Select the expression that is equivalent to 2x²+11x - 21 over x+3 by dividing. A. 2x+5- 6 over x+3
b. 2x + 17 - 20 over x+3
C. 2x + 17 - 36 over x²+3x
d. 2x+5 - 36 over x+3​

Respuesta :

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:

brainly.com/question/14624349

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