(x3 + 6x2 + 2x - 6) β’ (x - 1)
step-by-step explanation:
polynomial long division :
3.2 polynomial long division
dividing : x4+5x3-4x2-8x+6
("dividend")
by : x-1 ("divisor")
dividend x4 + 5x3 - 4x2 - 8x + 6
- divisor * x3 x4 - x3
remainder 6x3 - 4x2 - 8x + 6
- divisor * 6x2 6x3 - 6x2
remainder 2x2 - 8x + 6
- divisor * 2x1 2x2 - 2x
remainder - 6x + 6
- divisor * -6x0 - 6x + 6
remainder 0
quotient : x3+6x2+2x-6 remainder: 0