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.

1 answer

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.