Polynomials Flashcard

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 4x^2 + 3x - 5 is a polynomial.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term. For example, 7x^3 is a monomial.

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, x^2 + 2x + 1 is a trinomial.

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 4x^3 + 2x^2 - x, the degree is 3.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms. For example, (3x + 2) + (4x - 5) = 7x - 3.

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How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms. For example, (5x^2 + 3) - (2x^2 - 4) = 3x^2 + 7.

Front

What is a quartic polynomial?

Back

A quartic polynomial is a polynomial of degree four. For example, x^4 - 2x^3 + 3x^2 - 1 is a quartic polynomial.

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree two. For example, 2x^2 + 3x + 1 is a quadratic polynomial.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms.