Classifying, Adding, Subtracting, and Multiplying 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

Classify the polynomial: -x^4 - 2x^3 + 7x^2 - 6x + 13

Back

Polynomial

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

Determine the degree of the polynomial: -7xy^3z^2

Back

6

Front

True or False: 5xy^-8 is a polynomial.

Back

False

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

Multiply the polynomial by the monomial: 3x(4x^2 - x - 3)

Back

12x^3 - 3x^2 - 9x

Front

Add the polynomials: (x^3 + 6x - 5) + (-6x^2 + 4x + 3)

Back

x^3 - 6x^2 + 10x - 2