Intro to 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 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 power of the variable in the expression.

Front

What is a leading coefficient?

Back

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

Front

How do you identify the degree of the polynomial 4x^3 + 2x^2 + x?

Back

The degree is 3, as the highest power of x is 3.

Front

What is the degree of the polynomial 5?

Back

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

Front

Can you combine the terms 4 and 2?

Back

Yes, you can combine them to get 6.

Front

Can you combine the terms 4 and x?

Back

No, they cannot be combined as they are not like terms.

Front

What is the polynomial 2 + x in standard form?

Back

The standard form is x + 2.

Front

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

Back

The leading coefficient is 3.