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

What is the degree of a polynomial?

Back

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

Front

Classify the polynomial: 4x^2 + 3x - 5

Back

This is a trinomial with a degree of 2.

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 the perimeter of a rectangle with length 3x and width x?

Back

The perimeter is 2(3x + x) = 8x.

Front

How do you add polynomials?

Back

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

Front

What is the result of (x + 2) + (3x + 4)?

Back

The result is 4x + 6.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms.

Front

What is the result of (5x^2 + 3x) - (2x^2 + x)?

Back

The result is 3x^2 + 2x.