1. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 2-2
4/20/2019
ALGEBRA II HONORS/GIFTED @
REVIEW FOR TEST 2-2

2. Factor completely. 20x2y – 100xy + 125y
QUESTION #1
Factor completely.
20x2y – 100xy + 125y

3. ANSWER TO QUESTION #1
5y(2x – 5)2

4. QUESTION #2
Factor completely.
64x

5. ANSWER TO QUESTION #2
(4x + 7)
(16x2 - 28x + 49)

6. Classify the polynomial by degree and number of terms.
QUESTION #3
Classify the polynomial by degree and number of terms.
6x3 – 4x + 3

7. ANSWER TO QUESTION #3
cubic trinomial

8. Factor completely. 4ax2 + 3bx2 – 36a – 27b
QUESTION #4
Factor completely.
4ax2 + 3bx2 – 36a – 27b

9. ANSWER TO QUESTION #4
(4a + 3b)(x + 3)(x – 3)

10. QUESTION #5 Given f(x) = 3x3 – 2x2 – 5x. a) Factor completely.
b) Find the coordinates of the relative minimum to 2 decimal places.
c) Find the coordinates of the relative maximum to 2 decimal places.

11. ANSWERS TO QUESTION #5
a) x(3x – 5)(x + 1)
b) (1, -4)
c) (-0.56, 1.65)

12. QUESTION #6
Solve by factoring.
27x3 – 64 = 0

13. ANSWERS TO QUESTION #6

14. QUESTION #7
Divide.
(8x3 + 2x2 – 7x + 2) ÷ (2x – 1)

15. ANSWER TO QUESTION #7
4x2 + 3x - 2

16. QUESTION #8
Divide.
(3x3 – 24x - 11) ÷ (x – 3)

17. ANSWER TO QUESTION #8

18. Write a polynomial function in Standard Form with the given zeroes :
QUESTION #9
Write a polynomial function in Standard Form with the given zeroes :
0, -5, 3

19. ANSWER TO QUESTION #9
x3 + 2x2 – 15x

20. QUESTION #10
Find the value of x that makes the following equation true. Feel free to use your graphing calculator to assist you with this problem.
x(x + 2)(x – 5) = 126

21. ANSWER TO QUESTION #10 7

22. STUDY
Sections 5-1 to 5-4
Factoring Cubics

23. S O L U T I N