Classifying, Adding, Subtracting, and Multiplying Polynomials

Front

What is the degree of the polynomial x^4 - 9x + 1?

Back

4

Front

What is the area of a rectangle with dimensions (x + 3) and (x + 11)?

Back

x^2 + 14x + 33

Front

What is the result of multiplying (x-3) and (x^2 + 2x + 7)?

Back

x^3 - x^2 + x - 21

Front

What is the sum of the polynomials (12x^2 + 3x^4 - 6x - 2) and (-3x^4 + 5x + 9 - 7x^2)?

Back

5x^2 - x + 7

Front

What is the sum of the polynomials (x^3 + 6x - 5) and (-6x^2 + 4x + 3)?

Back

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

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting 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.

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 add polynomials?

Back

Combine like terms by adding their coefficients.