Polynomial Graphs

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What does end behavior of a polynomial refer to?

Back

End behavior describes how the values of a polynomial function behave as the input approaches positive or negative infinity.

Front

How do you determine the end behavior of a polynomial function?

Back

The end behavior can be determined by the leading term of the polynomial, specifically its degree and leading coefficient.

Front

What are zeros of a polynomial?

Back

Zeros of a polynomial are the values of the variable that make the polynomial equal to zero.

Front

What is multiplicity in relation to polynomial zeros?

Back

Multiplicity refers to the number of times a particular zero is repeated in a polynomial.

Front

How do you find the factored form of a polynomial?

Back

To find the factored form, identify the zeros of the polynomial and express it as a product of factors corresponding to those zeros.

Front

What is the significance of the leading coefficient being positive or negative?

Back

If the leading coefficient is positive, the polynomial will rise to the right; if negative, it will fall to the right.

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

Back

A polynomial of degree n can have up to n real zeros, counting multiplicities.