3.2 Pt.1 Polynomial Functions Practice

3.2 Pt.1 Polynomial Functions Practice

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7C, HSN.CN.C.9

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial function?

Back

A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. The general form is f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n ≠ 0.

2.

FLASHCARD QUESTION

Front

What does the degree of a polynomial indicate?

Back

The degree of a polynomial indicates the highest power of the variable in the polynomial. It determines the polynomial's end behavior and the number of real zeros.

3.

FLASHCARD QUESTION

Front

How do you determine the number of real zeros of a polynomial function?

Back

The number of real zeros can be determined by analyzing the degree of the polynomial and using the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots (real or complex).

4.

FLASHCARD QUESTION

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. It influences the end behavior of the polynomial function.

5.

FLASHCARD QUESTION

Front

What is the end behavior of a polynomial function?

Back

The end behavior of a polynomial function describes how the function behaves as x approaches positive or negative infinity. It is determined by the degree and the sign of the leading coefficient.

6.

FLASHCARD QUESTION

Front

What does it mean if a polynomial has an even degree?

Back

If a polynomial has an even degree, its end behavior will be the same on both ends: both will approach +∞ or both will approach -∞.

7.

FLASHCARD QUESTION

Front

What does it mean if a polynomial has an odd degree?

Back

If a polynomial has an odd degree, its end behavior will be opposite on both ends: one end will approach +∞ and the other will approach -∞.

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