Operations with Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 3x^2 + 2x - 5 is a polynomial.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 4x^3 + 2x^2 - x, the degree is 3.

Front

Classify the polynomial 3x^3 - 6x by degree.

Back

Cubic (degree 3).

Front

Classify the polynomial 2x - 9 by degree.

Back

Linear (degree 1).

Front

What is a constant polynomial?

Back

A constant polynomial is a polynomial of degree 0, which means it has no variable term. For example, 5 is a constant polynomial.

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, where a and b are constants and a ≠ 0.

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, where a, b, and c are constants and a ≠ 0.

Front

What is a cubic polynomial?

Back

A cubic polynomial is a polynomial of degree 3, which can be expressed in the form ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms. For example, 3x + 5 is a binomial.

Front

What is a trinomial?

Back

A trinomial is a polynomial that contains exactly three terms. For example, x^2 + 3x + 2 is a trinomial.