What is the remainder when (x3 1) is divided by (x2 – x 1)?
x 1
x
2
0

keywords:

polynomial, division, dividend, divisor, quotient, rest

by definition, the division of polynomials must comply with: the dividend must be equal to the product of the divisor by the quotient plus the rest.

by definition, a polynomial is of the form

where:

a, b, c, d, e, f: they are the coefficients of the polynomial

x: is the variable

n, n-1,3,2,1,0: they are the exponents

we have the following polynomials:

representing the dividend

representing the divisor

we solve the division, see attached image.

it is observed that the quotient is: and the rest is: .

the remainder when is divided by is.