Determining Polynomial Functions

Front

Which function is a polynomial? A) x^2 + 3x + 2 B) sin(x) C) e^x D) log(x)

Back

A) x^2 + 3x + 2 is a polynomial function because it is a sum of terms with non-negative integer exponents.

Front

What is a polynomial function?

Back

A polynomial function is a mathematical expression that involves a sum of powers in one or more variables multiplied by coefficients, where the exponents are non-negative integers.

Front

What is the degree of the polynomial f(x) = -3x^4 + x^3 - 2x^2 + x - 1?

Back

The degree of f(x) is 4, which is the highest exponent of x in the polynomial.

Front

What is the degree of the polynomial f(x) = 2x^3 - 3x^2 + 4x - 10?

Back

The degree of f(x) is 3, which is the highest exponent of x in the polynomial.

Front

Identify the polynomial: A) 5x^2 + 4 B) 1/x C) sqrt(x) D) 2^x

Back

A) 5x^2 + 4 is a polynomial function because it consists of terms with non-negative integer exponents.

Front

What are the coefficients in the polynomial f(x) = 4x^3 - 2x + 7?

Back

The coefficients are 4 (for x^3), -2 (for x), and 7 (the constant term).

Front

What is the leading coefficient of the polynomial f(x) = 3x^5 - 2x^3 + x - 1?

Back

The leading coefficient is 3, which is the coefficient of the term with the highest degree (x^5).

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms, from the highest degree to the lowest.

Front

What is the difference between a polynomial and a rational function?

Back

A polynomial is a function that consists of terms with non-negative integer exponents, while a rational function is a ratio of two polynomials.

Front

What is the zero of a polynomial function?

Back

A zero of a polynomial function is a value of x that makes the polynomial equal to zero.