Classifying 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. It can be expressed in the form: a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants.

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 + 7, the degree is 3.

Front

Classify the polynomial 5y^3 - 8y by degree and number of terms.

Back

Cubic binomial.

Front

Classify the polynomial 3x^2 - 8x + 1 by degree and number of terms.

Back

Quadratic trinomial.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term. For example, 3x^2 is a monomial.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms. For example, 2x + 3 is a binomial.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms. For example, x^2 + 5x + 6 is a trinomial.

Front

Classify the polynomial 2x - 9 by degree.

Back

Linear.

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

Classify the polynomial 4x^4 + 3x^3 - 2x + 1 by degree and number of terms.

Back

Quartic polynomial (4 terms).