1. Ch. 5 Polynomials
BINGO

2. #1

3. #2
Write a polynomial in standard form with zeros at -2, 3 and 6.

4. #3
Add or subtract the polynomial.
(x3 + 4y2) – (3x3 – 5y2)

5. #4 Add or subtract the polynomial.
(25x4 – 6x2y + 5y) + (– 4x4 – x2y – 12y)

6. #5 Determine if the binomial (x + 2) is a factor of
𝒇 𝒙 = 𝒙 𝟒 + 𝟏𝟎𝒙 𝟑 + 𝟐𝟏𝒙 𝟐 +𝟔𝒙−𝟖.

7. #6
Divide
𝒇 𝒙 = 𝒙 𝟒 − 𝟖𝒙 𝟑 − 𝒙 𝟐 +𝟔𝟐𝒙−𝟑𝟒÷(𝒙−𝟕).

8. #7
Multiply
(x + y)(3x3 – xy + 2y2)

9. #8
Find the roots of the polynomial equation.
𝒇 𝒙 = 𝒙 𝟑 +𝟖

10. #9
Factor

11. #10
Divide
24x8y3 – 12xy5 + 27x4y2 – 9x7y4
3xy2

12. #11
Vocab
When we divide one polynomial by another we obtain a quotient and if the remainder is zero, then we call the divisor a _______.

13. #12
Determine whether the -2 is a zero of 𝒇 𝒙 = 𝒙 𝟒 + 𝒙 𝟐 −𝟏𝟐

14. #13
Factor

15. #14 What is the degree and leading coefficient?
23x6 – x3 – 34x8 – 23x5 + 34x2

16. #15
Solve
x4 + 6x2 + 5 = 0

17. #16
Divide

18. #17
Given that the polynomial 𝒙 𝟒 −𝟖𝟏 has a root of 3i, find all the roots.

19. #18
Find a polynomial of the lowest degree with rational coefficients that has the roots 2 and 4i.

20. #19 A polynomial equation with rational coefficients has the roots
2 – 3i and - 𝟐 . Find two additional roots.

21. #20
Factor
(8x3 – 125)

22. #21
Vocab
In a division problem, the ________ is what the dividend is divided by.

23. #22 Find all the roots. Give exact answers (no decimals).
𝒇 𝒙 = 𝒙 𝟑 − 𝟐𝒙 𝟐 −𝟑𝒙+𝟔

24. #23
Graph the polynomial. Make sure to include all roots, any extrema, and the y-intercept.

25. #24
Graph the polynomial. Make sure to include all roots, any extrema, and the y-intercept.

26. #25 Find all the roots. Give exact answers (no decimals).
𝒇 𝒙 = 𝒙 𝟓 +𝟏𝟓 𝒙 𝟑 −𝟏𝟔𝒙

27. #26

28. #27

29. #28 a. describe the end behavior,
b. determine whether it represents an odd–degree or an even-degree function, and
c. state the number of real zeroes.

30. #29 a. describe the end behavior,
b. determine whether it represents an odd–degree or an even-degree function, and
c. state the number of real zeroes.

31. #30
Find all the roots.