0
What else can I help you with?
Is 2x over 3 a rational function?
Yes, ( \frac{2x}{3} ) is a rational function. A rational function is defined as the ratio of two polynomials, and in this case, the numerator ( 2x ) is a polynomial of degree 1, while the denominator ( 3 ) is a constant polynomial (degree 0). Since both the numerator and denominator are polynomials, ( \frac{2x}{3} ) qualifies as a rational function.
How do you identify the degree on a polynomial?
The degree of a polynomial is identified by determining the highest exponent of the variable in the polynomial's expression. For example, in the polynomial (2x^3 + 4x^2 - x + 5), the highest exponent is 3, so the degree is 3. If the polynomial is a constant (like 5), its degree is 0, and if it's the zero polynomial, it's often considered to have no degree.
What are the kind of polynomial according to the number of degree?
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.
What is the least degree a polynomial could have with an imaginary root with a multiplicity of three?
Since the question did not specify a rational polynomial, the answer is a polynomial of degree 3.
What is the degree of the polynomial a3 - 2a2 4a 5?
To determine the degree of the polynomial ( a^3 - 2a^2 + 4a + 5 ), we identify the term with the highest power of the variable ( a ). The term ( a^3 ) has the highest exponent, which is 3. Therefore, the degree of the polynomial is 3.
What is a quadratic function is a function whose rule is a polynomial of degree what?
A polynomial of degree 2.
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 is a second degree polynomial function?
A second-degree polynomial function is a function of the form: P(x) = ax2 + bx + cWhere a ≠ 0.
What is a polynomial with a degree of three?
The degree of a polynomial refers to the largest exponent in the function for that polynomial. A degree 3 polynomial will have 3 as the largest exponent, but may also have smaller exponents. Both x^3 and x^3-x²+x-1 are degree three polynomials since the largest exponent is 4. The polynomial x^4+x^3 would not be degree three however because even though there is an exponent of 3, there is a higher exponent also present (in this case, 4).
Is 2x over 3 a rational function?
Yes, ( \frac{2x}{3} ) is a rational function. A rational function is defined as the ratio of two polynomials, and in this case, the numerator ( 2x ) is a polynomial of degree 1, while the denominator ( 3 ) is a constant polynomial (degree 0). Since both the numerator and denominator are polynomials, ( \frac{2x}{3} ) qualifies as a rational function.
How do you identify the degree on a polynomial?
The degree of a polynomial is identified by determining the highest exponent of the variable in the polynomial's expression. For example, in the polynomial (2x^3 + 4x^2 - x + 5), the highest exponent is 3, so the degree is 3. If the polynomial is a constant (like 5), its degree is 0, and if it's the zero polynomial, it's often considered to have no degree.
How many unique roots will a third degree polynomial function have?
It can have 1, 2 or 3 unique roots.
What are the kind of polynomial according to the number of degree?
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.
What are two polynomial functions whose quotient will have the same degree as the divisor?
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.
What is the least degree a polynomial could have with an imaginary root with a multiplicity of three?
Since the question did not specify a rational polynomial, the answer is a polynomial of degree 3.
What degree is the polynomial 35-6x2 plus 7x3 plus 5x?
7X^3 Third degree polynomial.
What is the polynomial and degree of 7x3 6x2 -2?
The polynomial 7x3 + 6x2 - 2 has a degree of 3, making it cubic.
