Polynomials Terms and Degrees

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers, combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

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

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.

Front

How do you identify the degree of the polynomial 5b^3 - 3 + 6b?

Back

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

Front

Simplify the expression (7x^2 - 16x - 13) - (-4 + 12x - 8x^2). What is the result?

Back

The result is 15x^2 - 28x - 9.

Front

What is the result of simplifying (3x^3 + 11x - 14) - (-2x + 6x^3 - 8)?

Back

The result is -3x^3 + 13x - 6.

Front

What is the simplified form of 3(x - 4) + 5(x + 2)?

Back

The simplified form is 8x - 2.

Front

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

Back

The leading coefficient is 4, which is the coefficient of the term with the highest degree.