Polynomials and Laws of Exponents

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, 4x^3 - 5x^2 + 3x is a polynomial.

Front

What are the laws of exponents?

Back

Front

How do you add polynomials?

Back

To add polynomials, combine like terms. Like terms are terms that have the same variable raised to the same power. For example, (4x^2 + 3x) + (2x^2 + 5) = (4x^2 + 2x^2) + (3x) + (5) = 6x^2 + 3x + 5.

Front

What is a like term?

Back

Like terms are terms in a polynomial that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms, while 3x^2 and 4x^3 are not.

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 - 5x^2 + 3x, the degree is 3.

Front

What is the zero exponent rule?

Back

Front

What is the product of powers rule?

Back

Front

What is the quotient of powers rule?

Back

Front

What is the power of a power rule?

Back

Front

What is the power of a product rule?

Back