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Quiz Factoring Polynomials

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MATHEMATICS 8 – Quarter 1 QUIZ 1
Directions: Read each questions carefully. Write your answers in separate sheet of paper.
I. Multiple Choice. Write the LETTER of the correct answer.
1. What is the Greatest Common Factor of 24 and 40?
A. 4
B. 6
C. 8
D. 10
4
2. What is the GCF of the expression 4x + 6x?
A. 2
B. x
C. 2x
D. 2x4
3. All of the following are perfect square trinomials, except one. Which is it?
A. 𝑥2 − 4𝑥𝑦 + 4y2
B. 4x2 − 12xy + 9y2 C. 9a2 + 24a − 16
D. x2y2 − 6x3y2 + 9x4y2
4. Which of the following pair of numbers has a GCF of 6?
A. 2 and 3
B. 8 and 12
C. 6 and 10
5. All of the following are factors of 10x2 Except one. What is it?
A. 5
B. 10x
C. x
6. Which of the following expressions has factors (2x - y) and (2x + y)?
A. 2x2 + y2
B. 2x2 – y2
C. 4x2 + y2
6
3
7. What is the GCF of 2x and x ?
A. x3
B. 2x3
C. 2x6
2
8. If one factor of 4x + 8x is 4x, what is the other factor?
A. 2x + 2
B. 4x + 2
C. x + 2
9. Which of the following is equal to x2 − 6xy + 9y2?
A. (x − 3y)2
B. (x + 3y)2
C. (2x − 3y)2
D. 12 and 18
D. x3
D. 4x2 – y2
D. x
D. 2x2 + 2
D. ( 2x + 3y)2
10. All of the following expressions are perfect squares, EXCEPT one. What is it?
A. 27x2y2
B. x2y6
C. 16x2y2
D. 25𝑥6𝑦8
II. Problem Solving. (Copy and answer each item, no need to copy the instructions)
Write the factors of following polynomials by finding its GCF:
11. 4x2 + 6x
12. 3x3 + 12
13. 5y3 + 10y2
Factor the following difference of two squares:
14. x2 – 16
15. 4x2 – 25
16. 25y2 – 81
Factor the following perfect square trinomials:
17. x2 +8x + 16
18. 16x2 + 72x + 81
19. 25x2 + 20xy + 4y2
Factor the following sum of two cubes
20. x3 + 216
21. 8x6 + 64
22. 8x3 + 125y3
Factor each completely. If the polynomial is not factorable, write prime.
23. x2 + 11x + 28
24. x2 + 12x + 35
25. 2x2 -13x + 15
1
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