Lesson 5.1: What Is a Polynomial? Quiz

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Sure! While I can't provide a specific quiz from your lesson, I can help create a sample quiz about polynomials based on your lesson's topic. Here are some example questions for a quiz about polynomials:

Sample Quiz on Polynomials

Question 1: Definition

What is a polynomial? Provide a brief definition.

Question 2: Terms and Coefficients

Identify the terms and coefficients in the polynomial: \( 4x^3 - 2x^2 + 7x - 5 \).

Question 3: Degree of a Polynomial

What is the degree of the polynomial \( 3x^4 - 5x + 2 \)?

Question 4: Classifying Polynomials

Classify the polynomial \( x^2 - 4x + 4 \) by its degree and number of terms.

Question 5: Operations with Polynomials

Simplify the expression: \((2x^3 + 3x - 1) + (4x^3 - 2x + 5)\).

Question 6: Identifying Non-Polynomials

Which of the following expressions is not a polynomial? A) \( 2x^3 \) B) \( 5x^{-1} \) C) \( -x^2 + 4 \) D) \( 7 \)

Question 7: Roots of Polynomials

What are the roots of the polynomial \( p(x) = x^2 - 9 \)?

Question 8: Evaluating Polynomials

Evaluate the polynomial \( f(x) = 2x^2 + 3x - 1 \) at \( x = 3 \).

Question 9: Factoring Polynomials

Factor the polynomial \( x^2 - 5x + 6 \).

Question 10: Polynomial Graphs

What is the general shape of the graph of a polynomial of odd degree with a positive leading coefficient?


Feel free to use or modify these questions as you see fit!