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 + (2)/(x - 1)`

Step-by-step 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 +(2)/(x - 1)`