Precalc Polynomial graphs

Precalc Polynomial graphs

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7C, HSA.APR.D.6, 8.F.A.3

Standards-aligned

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

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

Back

The zeros are -2, 3 (multiplicity 2), and 4.

Tags

CCSS.HSF-IF.C.7C

2.

FLASHCARD QUESTION

Front

What does it mean for a root to have a multiplicity of 2?

Back

A root with a multiplicity of 2 means that it is a repeated root, and the graph touches the x-axis at that point but does not cross it.

3.

FLASHCARD QUESTION

Front

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

Back

The end behavior of a polynomial function is determined by the leading term's degree and leading coefficient.

4.

FLASHCARD QUESTION

Front

What is the leading coefficient of the polynomial f(x) = 2x³ - 5x² + 3?

Back

The leading coefficient is 2.

5.

FLASHCARD QUESTION

Front

What is the factored form of the polynomial f(x) = x² - 5x + 6?

Back

The factored form is f(x) = (x-2)(x-3).

6.

FLASHCARD QUESTION

Front

What is the significance of the degree of a polynomial?

Back

The degree of a polynomial indicates the highest power of x and determines the number of zeros and the end behavior.

7.

FLASHCARD QUESTION

Front

How do you find the x-intercepts of a polynomial function?

Back

To find the x-intercepts, set the polynomial equal to zero and solve for x.

Tags

CCSS.HSF-IF.C.7C

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