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.
seventh degree polynomial x3 times x4 = x7
A fourth degree polynomial.
The degree of a polynomial is the highest power of the variable.
a polynomial of degree...............is called a cubic polynomial
A polynomial of degree 0 is a polynomial without any variables, such as 9.
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, 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.
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.
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.
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.
seventh degree polynomial x3 times x4 = x7
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).
A fourth degree polynomial.
The degree of the polynomial.
The degree of a polynomial is the highest power of the variable.
a polynomial of degree...............is called a cubic polynomial
The degree of a polynomial is the highest exponent on any independent variable in the polynomial.