Polynomial Expressions and Functions Flashcard

Front

Define a polynomial expression.

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Front

What is the degree of a polynomial?

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Front

What are the zeros of a polynomial function?

Back

The zeros of a polynomial function are the values of the variable that make the function equal to zero. They are also known as the roots of the polynomial.

Front

How do you factor a polynomial expression?

Back

To factor a polynomial expression, you can look for common factors, use special factoring techniques (like difference of squares or perfect square trinomials), or apply polynomial long division.

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What is the Rational Root Theorem?

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Front

What is synthetic division?

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Front

What is the Factor Theorem?

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Front

How do you find the zeros of a cubic polynomial?

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To find the zeros of a cubic polynomial, you can use factoring, synthetic division, or numerical methods such as the Newton-Raphson method if the polynomial cannot be factored easily.

Front

What is the difference between a polynomial and a rational function?

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A polynomial is an expression that involves only non-negative integer powers of the variable, while a rational function is a ratio of two polynomials, which can include negative powers or division by zero.

Front

What is a polynomial function?

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