Question

50 points

If dividing polynomial P(x) by polynomial Q(x) produces a remainder of 0, then Q(x) is a factor of P(x).

True or False

Answer 1

True

Explanation:

If dividing polynomial P(x) by polynomial Q(x) produces a remainder of 0, then it means that Q(x) is a factor of P(x). This is because when we divide P(x) by Q(x), we are looking for a polynomial that, when multiplied by Q(x), will give us P(x). If the remainder is 0, it means that Q(x) is a factor of P(x) because it can be multiplied by Q(x) to give us P(x) exactly, with no remainder.