Question

Select the statement that is always true when dividing a third degree polynomial by a second degree polynomial.(1 point)%0D%0AResponses%0D%0A%0D%0AThe quotient is a first degree polynomial.%0D%0AThe quotient is a first degree polynomial.%0D%0A%0D%0AThere will be a remainder.%0D%0AThere will be a remainder.%0D%0A%0D%0AThe quotient includes a fraction.%0D%0AThe quotient includes a fraction.%0D%0A%0D%0AThe quotient includes a zero term.

Answer 1

When dividing a third degree polynomial by a second degree polynomial, the statement that is always true is:

**The quotient is a first degree polynomial.**

This is because the degree of the quotient is determined by subtracting the degree of the divisor (second degree) from the degree of the dividend (third degree), leading to a first degree polynomial. The other statements may not necessarily be true in every case.