Explain what zeros of a polynomial are.

Zeros of a polynomial are the values of $$x$$ for which the polynomial evaluates to zero.

What is the significance of the y-intercept in a function?

The y-intercept is the point where the graph of the function crosses the y-axis, indicating the value of the function when $$x=0$$ .

How do you find the y-intercept of a polynomial function?

To find the y-intercept, substitute $$x=0$$ into the polynomial and solve for $$f(0)$$ .

What does multiplicity mean in the context of polynomial zeros?

Multiplicity refers to the number of times a particular zero appears in the polynomial; for example, a zero with multiplicity 3 means it is a root of the polynomial three times.

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

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

What is a polynomial's leading coefficient?

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

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

The end behavior of a polynomial function is determined by its leading term; if the leading coefficient is positive, the ends of the graph will rise in the same direction, and if negative, they will fall.

What is the difference between even and odd degree polynomials in terms of their graphs?

Even degree polynomials have graphs that are symmetric about the y-axis, while odd degree polynomials have graphs that are symmetric about the origin.

LT4a Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Back

The zeros are 0, 4, -6, 7, 10.

Tags

CCSS.HSF-IF.C.7C

2.

FLASHCARD QUESTION

Front

Back

The y-intercept is (0, 125).

Tags

CCSS.HSF-IF.C.7C

3.

FLASHCARD QUESTION

Front

Which equation MOST LIKELY matches the graph?

Back

Tags

CCSS.HSA.APR.B.3

4.

FLASHCARD QUESTION

Front

Back

The zeros are 8, -5, -12.

Tags

CCSS.HSF-IF.C.7C

5.

FLASHCARD QUESTION

Front

Select the polynomial whose zeros and degree are given: Zeros: –5 (multiplicity of 3), 9 (multiplicity of 2), –2, 4; Degree: 7.

Back

Tags

CCSS.HSF-IF.C.7C

6.

FLASHCARD QUESTION

Front

Define a polynomial function.

Back

7.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

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

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