Naming/Classifying 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 are the degrees of polynomials?

Back

The degree of a polynomial is the highest power of the variable in the expression. It determines the polynomial's classification: constant (degree 0), linear (degree 1), quadratic (degree 2), cubic (degree 3), etc.

Front

How do you classify a polynomial by the number of terms?

Back

Polynomials can be classified as monomial (1 term), binomial (2 terms), trinomial (3 terms), or polynomial (more than 3 terms).

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.

Front

Classify the polynomial: 4x^3 + 2x^2 - x + 7

Back

Cubic polynomial (degree 3, polynomial with 4 terms).

Front

Classify the polynomial: 5x^2

Back

Quadratic monomial (degree 2, 1 term).

Front

Classify the polynomial: 3x^4 - 2x^2 + 1

Back

Quartic polynomial (degree 4, polynomial with 3 terms).

Front

Is the expression 2x^2 + 3x - 1 in standard form?

Back

Yes, it is in standard form.

Front

Classify the polynomial: -7

Back

Constant polynomial (degree 0, 1 term).

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.