how do you divide (x^4+2x^3-5x^2+3x-1) by (x-1) usin synthetic division

Question

Need Help please.

Answer 1

The polynomial  x ⁴ + 2x ³ - 5x ²+ 3x - 1

x - 1 is a divisor.

By synthetic division

First, write down all the coefficients, and put the zero from x – 1 = 0 (so x = 1) at the left .

Next, carry down the leading coefficient :

Multiply by the potential zero, carry up to the next column, and add down:

Repeat this process:

(x ⁴ + 2x ³ - 5x ²+ 3x - 1)/(x - 1) then the quotient is x ³ + 3x ²-2x + 1 .