A polynomial is an algebraic expression made up of terms, each consisting of a variable raised to a non-negative integer power, multiplied by a coefficient.
What is the degree of a polynomial?
The degree of a polynomial is the highest power of the variable in the polynomial.
How do you determine the degree of a term?
The degree of a term is the exponent of the variable in the term.
What is the degree of the polynomial 7x^3 + 5x^2 + 1?
The degree of the polynomial 7x^3 + 5x^2 + 1 is 3.
What does it mean if a polynomial is classified as 'linear'?
A linear polynomial is a polynomial of degree 1.
What is a quadratic polynomial?
A quadratic polynomial is a polynomial of degree 2.
How would you describe a cubic polynomial?
A cubic polynomial is a polynomial of degree 3.
What is the degree of a constant polynomial?
The degree of a constant polynomial is 0.
If you have a polynomial with no variables, what is its degree?
The degree of a variable-less polynomial is 0, also known as a constant polynomial.
What is the degree of the polynomial 2x^5 - 4x^3 + x?
The degree of the polynomial 2x^5 - 4x^3 + x is 5.
If a polynomial has a degree of 4, how many roots can it have?
A polynomial of degree 4 can have up to 4 roots.
How do you find the degree of a polynomial with multiple variables, like x^2y^3 + xy^2?
Add the exponents of the variables in each term; the degree of the polynomial is the highest sum.
What is the degree of 6x + 4?
The degree of the polynomial 6x + 4 is 1.
Why is it important to know the degree of a polynomial?
The degree indicates the polynomial's highest power and helps predict its behavior and graph shape.
Compare the degrees: 3x^2y^2z and 5xy^3 + 2y^4. Which is higher?
The degree of both terms is 5, thus they are equal.