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For example, if you divide a polynomial of degree 2 by a polynomial of degree 1, you'll get a result of degree 1. Similarly, you can divide a polynomial of degree 4 by one of degree 2, a polynomial of degree 6 by one of degree 3, etc.

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How DO YOU divide the polynimail by another polynomail?

To divide one polynomial by another, you use polynomial long division or synthetic division. In polynomial long division, you divide the leading term of the dividend by the leading term of the divisor to find the first term of the quotient. Then, multiply the entire divisor by this term and subtract the result from the dividend, repeating the process until the degree of the remainder is less than that of the divisor. The final result consists of the quotient and the remainder expressed as a fraction over the divisor.


When a polynomial is divided by one of its binomial factors what is the quotient called?

When a polynomial is divided by one of its binomial factors, the quotient is called the "reduced polynomial" or simply the "quotient polynomial." This resulting polynomial represents the original polynomial after removing the factor, and it retains the degree that is one less than the original polynomial.


How can you tell if you are finished solving a polynomial division problem?

You can tell you are finished solving a polynomial division problem when the degree of the remainder is less than the degree of the divisor. At this point, you cannot divide any further, and the final answer consists of the quotient along with the remainder expressed as a fraction of the divisor. If the remainder is zero, the division is exact, and there are no further steps needed.


What is the quotient when (x 3) is divided into the polynomial 2x2 3x - 9?

To find the quotient when (2x^2 + 3x - 9) is divided by (x^3), we note that the degree of the divisor (x^3) is greater than the degree of the dividend (2x^2 + 3x - 9). Therefore, the quotient is (0) since (x^3) cannot divide (2x^2 + 3x - 9) without resulting in a fractional expression.


What is a quotent?

Quotient is the result of a divisor dividing a dividend. For example 3 divide by 2 is 0.666... 3 is the divisor, 2 is a dividend and 0 is the quotient, as for the recurring 6's they are the remainder.


What degree of polynomial will be produced by multiplying a third degree polynomial and a fourth degree polynomial?

seventh degree polynomial x3 times x4 = x7


A quadratic polynomial is a third-degree polynomial?

No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).


What type of polynomial is formed by adding a second degree binomial to a fourth degree monomial. State the degree of this polynomial?

A fourth degree polynomial.


The greater degree of the terms in a polynomial is called?

The degree of the polynomial.


What is this polynomial's degree?

The degree of a polynomial is the highest power of the variable.


What is a zero degree polynomial called?

a polynomial of degree...............is called a cubic polynomial


What is the meaning degree of polynomial?

The degree of a polynomial is the highest exponent on any independent variable in the polynomial.