Question

As long division is being done, once the term that is left after subtracting has a lower degree than the divisor then the problem is complete and the remaining term is the remainder.

O true
O false

Answer 1

The statement about the completion of long division is true; the process ends when the term left has a lower degree than the divisor, and this term is the remainder.

Step-by-step explanation:

The statement that the long division is complete when the term that is left after subtracting has a lower degree than the divisor, and the remaining term is the remainder, is true. In the process of long division, especially with polynomials, you continue to divide until you cannot divide further without going into fractions or decimals.

When the degree of the term you are attempting to divide (the dividend) is lower than the degree of the term you are dividing by (the divisor), you can no longer divide in a way that produces a polynomial result, and therefore, whatever is left becomes the remainder.

In long division, the problem is considered complete when the degree of the remaining term is less than the degree of the divisor. The remaining term is the remainder.

For example, if we divide 10x^2 + 5x + 2 by 2x, the degree of the remaining term after subtracting is 1, which is less than the degree of the divisor (which is 1), so the problem is complete and the remaining term (5x + 2) is the remainder.

Therefore answer is False.