HW: Flashcardizz: 5.1 to 5.2: functions with polynomials

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial. For example, in the term -3x, -3 is the coefficient.

Front

Back

Front

How do you simplify the expression (4x^2 + x) - (x^2 + 2x)?

Back

The simplified expression is 3x^2 - x.

Front

What is the result of simplifying (x^5 + x^3) - (6x - x^3 + 6x^5)?

Back

The result is -5x^5 + 2x^3 - 6x.

Front

Back

The value is 1.

Front

What does it mean when a polynomial is in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of their degrees.

Front

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

Back

The degree of the polynomial is 3, which is the highest exponent of x.

Front

What is a polynomial?

Back

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

Front

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

Back

The leading coefficient is 3, which is the coefficient of the term with the highest degree.

Front

What is the result of adding the polynomials (2x^2 + 3x) and (4x^2 - x)?

Back

The result is 6x^2 + 2x.