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Overview of Polynomial Equations, Functions & Inequalities Chapter Exam

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!

Page 1

Question 1 1. Write a polynomial with roots 1, -1 and 3.

Question 2 2. How many roots would the following polynomial have?

Question 3 3. Write a polynomial with roots of 1, 2 and -2.

Question 4 4. If the roots of a polynomial are 2, 4 and -5, what are the factors?

Question 5 5. What is the procedure for subtracting polynomials:

Page 2

Question 6 6. Multiply: (x + 1)(x + 6)

Question 7 7. Add: (x2 + 5x + 2) + (x2 - 2x + 7).

Question 8 8. Subtract: (x2 + 3x + 4) - (7x2 - 5x + 2)

Question 9 9. A polynomial function has real coefficients, a leading coefficient of 1, and the zeros 8, -i and i. Write a polynomial function of least degree in standard form.

Question 10 10. A polynomial function has real coefficients, a leading coefficient of 1, and the zeros -4i and 4i. Write a polynomial function of least degree in standard form.

Page 3

Question 11 11. A polynomial function of degree 4 has the following zeros: 2, 3 and 2 - 2i. What is the fourth zero?

Question 12 12. A polynomial function has real coefficients, a leading coefficient of 1, and the zeros 3 - i, 3 + i, 4, and 4. Write the polynomial function in factored form.

Question 13 13. Find the real zeros of the polynomial function.

Question 14 14. What are the extrema of the polynomial function?

Question 15 15. Even functions are symmetrical with respect to _____?

Page 4

Question 16 16. What is a high point on the graph called?

Question 17 17. Which of the following is not a coefficient of this polynomial?

Question 18 18. What is the leading term of this polynomial?

Question 19 19. How many terms does this polynomial have?

Question 20 20. Which of the following is not a valid polynomial term?

Page 5

Question 21 21.

Solve for x.

x + 2x = y

Question 22 22.

What does z equal when x = 1 and y = 2?

x + y + z = 3

Question 23 23.

Solve for z.

x + z = 2

Question 24 24.

Solve for t.

2s + 2t = 4

Question 25 25. Which of the following is NOT a polynomial inequality?

Page 6

Question 26 26.

If you're plotting three values on the number line, how many intervals does this break the number line into?

Here, the three values are: x1, x2, and x3 where x1 < x2 < x3.

Question 27 27. Solve the polynomial inequality x^2 + x - 12 > 0.

Question 28 28. Which of the following are steps in solving polynomial inequalities?

Question 29 29. Write the factors of the polynomial with roots, 3, -3 and 6.

Question 30 30. Subtract: (x3 + x3 + 6) - (x3 - 2x + 1).

Overview of Polynomial Equations, Functions & Inequalities 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!

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