5. Characteristics of Polynomials Review 2024

Front

What is a polynomial?

Back

Front

What is the degree of a polynomial?

Back

Front

How do you find the roots of a polynomial?

Back

The roots of a polynomial are the values of the variable that make the polynomial equal to zero. They can be found using factoring, the quadratic formula, or numerical methods.

Front

What is a quadratic polynomial?

Back

Front

What is the difference between even and odd degree polynomials?

Back

Even degree polynomials have the highest power as an even number and their graphs are symmetric about the y-axis. Odd degree polynomials have the highest power as an odd number and their graphs are symmetric about the origin.

Front

What are the characteristics of the graph of a polynomial function?

Back

The graph of a polynomial function is continuous and smooth, with no breaks or sharp corners. The number of turning points is at most one less than the degree of the polynomial.

Front

What is the leading coefficient of a polynomial?

Back

Front

What is the Fundamental Theorem of Algebra?

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The Fundamental Theorem of Algebra states that every non-constant polynomial function has at least one complex root. A polynomial of degree n has exactly n roots, counting multiplicities.

Tags

CCSS.HSN.CN.C.9

Front

How do you determine the number of roots of a polynomial?

Back

The number of roots of a polynomial can be determined by its degree. A polynomial of degree n can have up to n real roots.

Front

What is synthetic division?

Back

Tags

CCSS.HSA.APR.D.6