Graphs of Polynomials

Graphs of Polynomials

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7C, HSA.APR.B.2

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the degree of a polynomial function?

Back

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

2.

FLASHCARD QUESTION

Front

How do you determine the degree of a polynomial from its graph?

Back

The degree can be determined by observing the number of turning points in the graph; a polynomial of degree n can have at most n-1 turning points.

3.

FLASHCARD QUESTION

Front

What is the general form of a polynomial function?

Back

The general form of a polynomial function is f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n ≠ 0.

4.

FLASHCARD QUESTION

Front

What does the leading coefficient of a polynomial indicate?

Back

The leading coefficient indicates the direction of the graph as x approaches positive or negative infinity.

5.

FLASHCARD QUESTION

Front

What is the significance of the roots of a polynomial function?

Back

The roots of a polynomial function are the values of x for which the function equals zero; they correspond to the x-intercepts of the graph.

Tags

CCSS.HSF-IF.C.7C

6.

FLASHCARD QUESTION

Front

How can you find the roots of a polynomial function?

Back

Roots can be found by factoring the polynomial, using the quadratic formula, or applying numerical methods for higher degree polynomials.

7.

FLASHCARD QUESTION

Front

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

Back

A polynomial of degree n can have at most n roots, counting multiplicities.

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