All Polynomials: classify, add, subtract, multiply

Front

What is 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

Classify the polynomial: 3x^3 + 2x^2 - x + 5.

Back

Cubic polynomial (degree 3) with four terms (quartic).

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

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

Simplify: 4x + 3x.

Back

7x.

Front

What is the product of (x + 2)(x - 2)?

Back

x^2 - 4.

Front

Classify the polynomial: 5x^2 - 3x + 2.

Back

Quadratic trinomial (degree 2 with three terms).

Front

What is the result of multiplying a polynomial by a monomial?

Back

Distribute the monomial to each term of the polynomial.

Front

Simplify: 3(x + 4) - 2(x - 1).

Back

x + 14.