Identify Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

How do you determine the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

What is a linear polynomial?

Back

A linear polynomial is a polynomial of degree 1, which can be expressed in the form f(x) = ax + b, where a and b are constants.

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What is a cubic polynomial?

Back

A cubic polynomial is a polynomial of degree 3, expressed in the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants.

Front

What is a quartic polynomial?

Back

A quartic polynomial is a polynomial of degree 4, expressed in the form f(x) = ax^4 + bx^3 + cx^2 + dx + e, where a, b, c, d, and e are constants.

Front

What is the difference between a polynomial and a non-polynomial function?

Back

A polynomial function has non-negative integer exponents, while a non-polynomial function may have negative exponents, fractional exponents, or other forms.

Front

Is h(x) = 3x a polynomial function?

Back

Yes, h(x) = 3x is a polynomial function because it is of degree 1.

Front

Is g(x) = 3x^2 - 1x^-4 + 7 a polynomial function?

Back

No, g(x) = 3x^2 - 1x^-4 + 7 is not a polynomial function because it contains a term with a negative exponent.