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Rewrite the given rational expression in the form q(x) + r(x)/b(x) where q(x) = quotient, r(x) = remainder, and b(x) = divisor.(x3 – x – 23)/(x + 1)- x2 –x(x2 – x)– 23/(x + 1)x2+ x(-x2 + x)– 23/(x + 1)

Rewrite the given rational expression in the form qx rxbx where qx quotient rx remainder and bx divisorx3 x 23x 1 x2 xx2 x 23x 1x2 xx2 x 23x 1 class=

Respuesta :

Given

[tex]\frac{x^3+2x^2+3x+2}{x+1}[/tex]

To rewrite the expression using synthetic division.

Explanation:

It is given that,

[tex]\frac{x^3+2x^2+3x+2}{x+1}[/tex]

That implies,

Set x + 1 = 0.

Then, x = -1.

Therefore, by using synthetic division,

Hence, the expression is rewritten as,

[tex]x^2+x+2[/tex]

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