Adding, Subtracting, and Multiplying Polynomials REVIEW

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 a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables.

Front

What is a binomial?

Back

A binomial is a polynomial that consists of exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of exactly three terms.

Front

How do you classify polynomials by degree?

Back

Polynomials are classified by their highest degree: constant (degree 0), linear (degree 1), quadratic (degree 2), cubic (degree 3), quartic (degree 4), etc.

Front

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

Back

The degree of the polynomial 4x^3 + 2x - 5 is 3.

Front

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

Back

The result is x^3 + x^2 + 2x - 1.

Front

What is the result of subtracting (5x^2 - 3x + 2) from (2x^2 + 4x - 1)?

Back

The result is -3x^2 + 7x - 3.

Front

How do you divide a polynomial by a monomial?

Back

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial.

Front

What is the result of dividing 2x^8 - 8x^2 - 28x by 2x?

Back

The result is x^7 - 4x - 14.