Polynomials: Classifying, Adding, Subtracting

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial arranges the terms by degree in descending numerical order.

Front

How do you classify a polynomial with four terms?

Back

A polynomial with four terms is classified as a quartic polynomial.

Front

What is the degree of the polynomial 7x^3 - 8x^2 - 4x + 9?

Back

The degree of the polynomial is 3, making it a cubic polynomial.

Front

What is the result of adding the polynomials (4x^2 + x) and (x^2 + 2x)?

Back

The result is 3x^2 - x.

Front

Is the expression 6w^2 - 9w^3 in standard form?

Back

No, it is not in standard form because the terms are not arranged by degree in descending order.

Front

What is a binomial?

Back

A binomial is a polynomial that has exactly two terms.

Front

What is the leading coefficient of the polynomial 5x^4 - 3x^3 + 2x - 1?

Back

The leading coefficient is 5, which is the coefficient of the term with the highest degree.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign to the terms of the polynomial being subtracted and then combine like terms.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

Classify the polynomial 2x^5 + 3x^3 - x + 4 by degree and number of terms.

Back

It is a quintic polynomial (degree 5) and a trinomial (3 terms).