alleryStart learning →A polynomial divided by a binomial leaves a remainder of 0. What does that show?
AThe binomial has degree 0
BThe binomial is a factor
CThe quotient must be zero
DThe dividend has no zeros
Answer & Solution
Correct answer: B. The binomial is a factor
1. The Division Algorithm writes the dividend as divisor times quotient plus remainder.
2. With a remainder of 0 the dividend equals divisor times quotient exactly.
3. So the divisor divides evenly, which makes both the divisor and the quotient factors of the dividend.
_Source: OpenStax Precalculus (CC BY 4.0), section 3.5 Dividing Polynomials_
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