If a fifth degree polynomial is divide by a third degree polynomial,what is the degree of the quotient
5-3=2
Beato
When a polynomial is divided by another polynomial, the degree of the quotient is determined by subtracting the degree of the divisor from the degree of the dividend.
In this case, if a fifth degree polynomial is divided by a third degree polynomial, the degree of the quotient will be the difference between the degrees:
Degree of Quotient = Degree of Dividend - Degree of Divisor
Since the dividend is a fifth degree polynomial and the divisor is a third degree polynomial, the degree of the quotient would be:
Degree of Quotient = 5 - 3 = 2
Therefore, the degree of the quotient would be 2.
To determine the degree of the quotient when a fifth degree polynomial is divided by a third degree polynomial, we need to apply polynomial long division.
The degree of the quotient is obtained by subtracting the degree of the divisor from the degree of the dividend. In this case, if we have a fifth degree polynomial (degree 5) divided by a third degree polynomial (degree 3), we subtract 3 from 5.
Degree of quotient = Degree of dividend - Degree of divisor
Degree of quotient = 5 - 3
Degree of quotient = 2
Therefore, the degree of the quotient is 2.