Polynomials, Degree and Leading Coefficient – Quick Check

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 standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest exponent of the variable in the polynomial when it is expressed in standard form.

Front

How do you find the leading coefficient of a polynomial?

Back

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

Front

What is the leading coefficient of the polynomial 3x^4 + 2x^3 - x + 5?

Back

The leading coefficient is 3.

Front

What is the leading coefficient of the polynomial -2x^5 + 4x^2 - 7?

Back

The leading coefficient is -2.

Front

What is the degree of the polynomial 7x^3 - 4x + 1?

Back

The degree is 3.

Front

What is the degree of the polynomial 5?

Back

The degree is 0, as it is a constant polynomial.

Front

What is the leading coefficient of the polynomial 0.5x^2 - 3x + 4?

Back

The leading coefficient is 0.5.

Front

What happens to the degree of a polynomial when you add a term with a lower degree?

Back

The degree of the polynomial remains the same, as it is determined by the term with the highest degree.