Question

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

$(3x^{2} -2x+1)$ ÷ $(x-1)$

Answer 1

ANSWER

$\frac{3 {x}^{2} - 2x + 1 } {x - 1 } = 3x + 1 + \frac{2}{x - 1}$

EXPLANATION

The given function is

$\frac{3 {x}^{2} - 2x + 1 } {x - 1 }$

The synthetic division is shown in the attachment.

The Remainnder is 2.

The quotient is

$3x + 1$

Therefore

$\frac{3 {x}^{2} - 2x + 1 } {x - 1 } = 3x + 1 +\frac{2}{x - 1}$