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, 2x² + 3x - 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 4x³ + 2x² - x + 7, the degree is 3.

Front

Classify the polynomial: 5x² + 3x - 1

Back

This polynomial is classified as a trinomial because it has three terms.

Front

Add the polynomials: (2x² + 3x) + (4x² - x)

Back

The result is 6x² + 2x.

Front

Subtract the polynomials: (3x² + 4x) - (x² + 2x)

Back

The result is 2x² + 2x.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms. For example, 3x + 4 is a binomial.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms. For example, x² + 2x + 1 is a trinomial.

Front

What is the leading coefficient of the polynomial 7x³ - 4x² + 2?

Back

The leading coefficient is 7, which is the coefficient of the term with the highest degree.

Front

Find the degree of the polynomial: 2x⁴ - 3x² + 5x - 1

Back

The degree of this polynomial is 4.

Front

What is the result of multiplying the polynomials: (x + 2)(x - 3)?

Back

The result is x² - x - 6.