.
Polynomials are classified based on their degree as follows: a polynomial of degree 0 is a constant polynomial, of degree 1 is a linear polynomial, of degree 2 is a quadratic polynomial, of degree 3 is a cubic polynomial, and of degree 4 is a quartic polynomial. Higher degree polynomials continue with quintic (degree 5), sextic (degree 6), and so on. The degree indicates the highest exponent of the variable in the polynomial.
3x² - 4x + 9 is a polynomial of degree 2.
4
Yes, ( x - 5 ) can be a remainder when dividing a polynomial ( p(x) ) by ( 7x^2 ). According to the polynomial remainder theorem, the remainder of a polynomial division by a polynomial of degree ( n ) will have a degree less than ( n ). Since ( 7x^2 ) is a polynomial of degree 2, the remainder can be of degree 1 or less, which means it can indeed be of the form ( x - 5 ).
degree 1
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 polynomial of degree 2.
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.
The degree of this polynomial is 2.
Polynomials are classified based on their degree as follows: a polynomial of degree 0 is a constant polynomial, of degree 1 is a linear polynomial, of degree 2 is a quadratic polynomial, of degree 3 is a cubic polynomial, and of degree 4 is a quartic polynomial. Higher degree polynomials continue with quintic (degree 5), sextic (degree 6), and so on. The degree indicates the highest exponent of the variable in the polynomial.
The polynomial 7x3 + 6x2 - 2 has a degree of 3, making it cubic.
The degree of a polynomial is the sum of all of the variable exponents. For example 6x^2 + 3x + 2 has a degree of 3 (2 + 1).
3x² - 4x + 9 is a polynomial of degree 2.
2
4
Yes, ( x - 5 ) can be a remainder when dividing a polynomial ( p(x) ) by ( 7x^2 ). According to the polynomial remainder theorem, the remainder of a polynomial division by a polynomial of degree ( n ) will have a degree less than ( n ). Since ( 7x^2 ) is a polynomial of degree 2, the remainder can be of degree 1 or less, which means it can indeed be of the form ( x - 5 ).
degree 1