Polynomials

Front

What is a polynomial?

Back

Front

What is the degree of a polynomial?

Back

Front

What is the Fundamental Theorem of Algebra?

Back

The Fundamental Theorem of Algebra states that every non-constant polynomial equation of degree n has exactly n complex roots, counting multiplicities.

Front

How do you perform polynomial long division?

Back

To perform polynomial long division, divide the leading term of the dividend by the leading term of the divisor, multiply the entire divisor by this result, subtract from the dividend, and repeat with the new polynomial.

Front

What is a factor of a polynomial?

Back

Front

What is synthetic division?

Back

Front

What are the roots of a polynomial?

Back

Front

What is the Remainder Theorem?

Back

Front

What is the difference between rational and irrational roots?

Back

Rational roots are roots that can be expressed as a fraction of two integers, while irrational roots cannot be expressed as such and often involve square roots or other non-repeating decimals.

Front

What is the significance of the leading coefficient?

Back

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. It affects the end behavior of the polynomial's graph.