How Well Do You Know Polynomial Classification?
What is a polynomial?
- A polynomial is a mathematical expression consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents.
Which of the following is not a polynomial?
- A polynomial must have non-negative integer exponents, so x^(1/2) + 1 is not a polynomial.
What is the degree of the polynomial 4x^3 x^2 + 2?
- The degree of a polynomial is the highest exponent of the variable, so the degree of 4x^3 x^2 + 2 is 3.
Which of the following is a quadratic polynomial?
- A quadratic polynomial is a polynomial of degree 2, so 2x^2 5x + 3 is a quadratic polynomial.
What is a constant polynomial?
- A constant polynomial is a polynomial of degree 0, so it has no variables.
Which of the following is a monomial?
- A monomial is a polynomial with only one term, so 5x^4 is a monomial.
What is a binomial?
- A binomial is a polynomial with two terms, such as x^2 + 3x or 2y 7.
What is a trinomial?
- A trinomial is a polynomial with three terms, such as x^2 + 3x 2 or 2y^3 5y + 1.
What is a homogeneous polynomial?
- A homogeneous polynomial is a polynomial in which all the terms have the same degree, such as x^3 + 2x^2y xy^2 3x^2z.
Which of the following is a polynomial of degree 4?
- A polynomial of degree 4 has the highest exponent of the variable equal to 4, so 2x^4 5x^2 + 3 is a polynomial of degree 4.
