Graphing Polynomials Flashcard

Front

What are the zeros of the polynomial function f(x)=(x+4)(x-3)(x-2)?

Back

The zeros are x = -4, x = 3, x = 2.

Front

How can you determine if the leading coefficient of a polynomial is positive or negative?

Back

If the leading term (the term with the highest degree) has a positive coefficient, the leading coefficient is positive.

Front

How many zeros does the polynomial function P(x) = 3x^4 + 4x - 8 have?

Back

The polynomial has 4 zeros.

Front

What does it mean for a polynomial to be classified as ODD or EVEN?

Back

A polynomial is EVEN if all its terms have even degrees; it is ODD if all its terms have odd degrees.

Front

What is the factored form of a polynomial?

Back

The factored form expresses the polynomial as a product of its linear factors.

Front

What is the significance of the leading coefficient in a polynomial function?

Back

The leading coefficient determines the end behavior of the polynomial graph.

Front

How do you find the zeros of a polynomial function?

Back

Set the polynomial equal to zero and solve for x.

Front

What is the degree of the polynomial P(x) = 3x^4 + 4x - 8?

Back

The degree is 4, which is the highest exponent of x.

Front

What does it mean for a polynomial to have a multiplicity?

Back

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

Front

How can you identify the end behavior of a polynomial function?

Back

The end behavior is determined by the leading term's degree and leading coefficient.