Use synthetic division to perform the indicate division. Write the poly nominal in the form p(x) = d(x)q(x) + r(x)

[tex](3x^{2} -2x+1)[/tex] ÷ [tex](x-1)[/tex]

Respuesta :

ANSWER

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

EXPLANATION

The given function is

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

The synthetic division is shown in the attachment.

The Remainnder is 2.

The quotient is

[tex]3x + 1[/tex]

Therefore

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