Polynomials Review

Front

What is a polynomial?

Back

Front

What is the degree of a polynomial?

Back

Front

What does the end behavior of a polynomial describe?

Back

The end behavior of a polynomial describes how the values of the polynomial behave as the input approaches positive or negative infinity. It is determined by the leading term of the polynomial.

Front

How do you find the maximum value of a polynomial function?

Back

To find the maximum value of a polynomial function, you can use calculus to find the critical points by setting the derivative equal to zero and then evaluate the function at those points.

Front

What are real roots of a polynomial?

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Front

What are complex roots of a polynomial?

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Complex roots of a polynomial are roots that include imaginary numbers. They occur in conjugate pairs if the coefficients of the polynomial are real.

Tags

CCSS.HSN.CN.C.9

Front

What is the Fundamental Theorem of Algebra?

Back

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

Tags

CCSS.HSN.CN.C.9

Front

What is the relationship between the degree of a polynomial and the number of roots?

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The degree of a polynomial indicates the maximum number of roots it can have. For example, a polynomial of degree 3 can have up to 3 roots.

Front

What is a leading coefficient?

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Front

What is the difference between real roots and complex roots?

Back

Real roots are the solutions to the polynomial that are real numbers, while complex roots include imaginary numbers. A polynomial can have both types of roots.

Tags

CCSS.HSN.CN.C.9