Polynomials

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

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: 5x^3y^2

Back

Monomial, degree 5.

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

What is a linear polynomial?

Back

A linear polynomial is a polynomial of degree 1, which can be expressed in the form ax + b.

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, which can be expressed in the form ax^2 + bx + c.

Front

What is the area of a rectangle with length 2x and width (x - 3)?

Back

Area = 2x(x - 3) = 2x^2 - 6x.

Front

What is the perimeter of a rectangle with length 3x and width (x - 2)?

Back

Perimeter = 2(3x + (x - 2)) = 8x - 4.