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

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 classify the polynomial 5x^3y^2?

Back

It is a monomial with a degree of 5.

Front

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

Back

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

Front

What is the area of a rectangle with length 3x and width x?

Back

The area is length × width = 3x × x = 3x^2.

Front

What is the result of (x + 3)(x + 1)?

Back

The result is x^2 + 4x + 3.

Front

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

Back

The result is 10x^2 + 15x.