1. Which of the following polynomials is an example of a perfect square trinomial?
a x2 - 10x + 5 b. x2 – 5x + 16 C. X2 – 10x + 25 d. x2 + 8x + 24
2. In the polynomial 64x3 – 27, one of the factors is (16x2 + 12x +9). What is the other
factor?
a. 8x - 9
b. 8x +9
C. 4x - 3
d. 4x +3
3. What are the factors of the polynomial 8m3 + 27?
a. (2m - 3)(4m2 + 6m + 4) C. (2m + 3) (4m2 + 6m +9)
b. (2m + 3)(4m² – 6m +9)
- ) d. (2m - 3)(4m2 – 6m +9)
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4. Which of the following is the complete factored form of the cubic polynomial s3 - 3?
a. (s – 2)(s2 + 25 + 4)
C. (s +2)(s2 + 25 + 4)
b. (s + 2)(s2 – 2s + 4)
d. (S – 2)(s2 – 2s + 4)
5. Factor completely: 27x3 + 64y3
a. ((3x)3 + (4y)3
C. (3x + 4y) (3x2 – 3xy +16y?)
b. (3x + 4y) (9x² – 12xy + 16y)
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d. (3x + 4y) (3x? – 12xy + 4y?)
6. A rectangular garden has an area represented by 15x2 - 4x — 4 square meters and a
-- 4
length represented by (5x + 2) meters. Find a binomial that represents the width.
a X-2
b. 3x – 2
c. 3x + 2
d. 3x2 + 2
7. What is the area of a square whose side is 4x – 1 ?
a. 16x2 – 1
b. 16x2 + 4x + 1 C.16x2 + 8x + 1 d. 16x2 - 8x + 1
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Answers & Comments
Answer:
PART III: SUMMATIVE EVALUATION Directions: Choose the letter of the correct answer and write it on your answer sheet. 1. Which of the following polynomials is an example of a perfect square trinomial? a, x2 - 10x + 5 b.x2 - 5x + 16 c. x2 – 10x + 25 d. x2 + 8x + 24 2. In the polynomial 64x3 - 27, one of the factors is (16x² + 12x + 9). What is the other factor? a. 8x - 9 b. 8x + 9 c. 42 - 3 3. What are the factors of the polynomial 8m” + 27? a. (2m-3) (4m² + 6m + 4) C. (2m +3)(4m? + 6m +9) b. (2m +3)(4m² - 6m +9) d. (2m - 3)(4m² - 6m +9) 4. Which of the following is the complete factored form of the cubic polynomial s? - 8? a. (s-2)(s2 + 2s + 4) c. (s + 2)(s? + 2s + 4) b. (s + 2)(s2 – 2s + 4) d. (s - 2)(s? – 2s + 4) 5. Factor completely: 27x* + 64y3 a. ((3x)3 + (4y) c. (3x + 4y)(3x2 – 3xy + 16y?) b. (3x + 4y) (9x² - 12xy +16y) d. (3x + 4y)(3x? – 12xy + 4y?) 6. A rectangular garden has an area represented by 15x2 - 4x – 4 square meters and a length represented by (5x + 2)meters. Find a binomial that represents the width. a. 7 - 2 b. 3x - 2 c.3x + 2 d. 3x2 + 2 7. What is the area of a square whose side is 4x - 1 ? a. 16x2 - 1 b. 16x2 + 4x + 1 c.16x2 + 8x + 1 d. 16x2 - 8x + 1 For items 8 - 9 A rectangle has a base that is two inches longer than its height. The area of the rectangle is 63 square inches. Find the dimensions of the rectangle. 8. Which of the following equations represent the problem? a. 63 = h + 2(h) b. 63 = (h + 2)h C. 63 = 2h + 2 d. 63 = h? + 2 9. What are the dimensions of the rectangle? a. h = 7 inches, b=9inches c. h = 9 inches, b = 6 inches b. h= 5 inches, b = 7inches d. h = 5 inches, b = 8 inches 10. The area of a parallelogram is 15x2 + 31x + 10 square inches. Its base is (3.x + 5) inches. Find its height. a. 5x – 2 b. 5x + 3 c. 5x + 2 d. 5x - 3