4
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.
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3x² - 4x + 9 is a polynomial of degree 2.
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.
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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
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