# Solving Problems with Polynomials Chapter Exam

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### Page 1

#### Question 1 1. What is the degree of a quadratic equation?

#### Question 2 2. A quadratic equation will have up to _____ solutions.

#### Question 3 3. Subtract the following rational expressions.

#### Question 4 4. Add the following rational expressions.

#### Question 5 5. Add and simplify.

### Page 2

#### Question 6 6. Subtract and simplify.

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Question 7
7.
Write the following expression in quadratic form:

2*x*^6 - 2*x*^3 - 40

*x*^6 - 2

*x*^3 - 40

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Question 8
8.
The polynomial *x*^6 + 13*x*^3 + 30 is written in quadratic form as *u*^2 + 13*u* + 30. What does *u* equal?

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Question 9
9.
The factors of (*x* - 7)^2 gives what perfect square trinomial?

#### Question 10 10. Which of the following scenarios would use a perfect square trinomial?

### Page 3

#### Question 11 11. What does FOIL stand for in multiplying binomials?

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Question 12
12.
Find the special product (4*x* + 5)(4*x* + 5).

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Question 13
13.
The graph of the function *f*(*x*) = *x*^3 - 4*x*^2 - 2*x* + 8 is shown below. This function has only one rational zero. Use the rational zeros theorem and the graph to determine the value of the rational zero.

#### Question 14 14. Which answer choice is not a possible rational zero for the following function?

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Question 15
15.
Subtract: (*x*3 + *x*3 + 6) - (*x*3 - 2*x* + 1)

### Page 4

#### Question 16 16. Which of these statements is true about adding polynomials?

#### Question 17 17. Solve the equation.

#### Question 18 18. Find the roots of the equation.

#### Question 19 19. A polynomial identity is an equation that is both _____ and _____.

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Question 20
20.
The difference between squares identity is extremely useful, because you can immediately break up *a*² - *b*² into which two factors?

### Page 5

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Question 21
21.
What type of expression is x + 7?

A: Polynomial

B: Binomial

C: Quadratic

#### Question 22 22. Which of these is a binomial?

#### Question 23 23. When you are asked to factor something in a math problem, you are supposed to break a number up into its factors, which are:

#### Question 24 24. When using FOIL in reverse to factor a trinomial, the coefficient for which term needs two numbers to add up to it ?

#### Question 25 25. Which of the following is not an example of a quadratic equation in real life?

### Page 6

#### Question 26 26. Add the following rational expressions.

#### Question 27 27. Add and simplify.

#### Question 28 28. Which expression CANNOT be written in quadratic form?

#### Question 29 29. Which of the following polynomials is NOT a perfect square trinomial?

#### Question 30 30. Which of the following is a binomial?

#### Solving Problems with Polynomials Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!