Multiple Choice:
Directions: Read and answer the questions below. Encircle the letter of
the correct answer from the given choices. (2 points each)
- Which of the following is the process of finding the factors of the
mathematical expression 2d2 - 8d?
A. Common Monomial Factor
B. Difference of Two Cubes
C. Difference of Two Squares
D. Perfect Square Trinomials
2. Which of the following are the factors of the mathematical expression
12a3b5 - 20a5b2c?
A. 4(3a%b5--5a5b2c)
C. a3b2(12b3-5a2c)
B. 2ab?(6b3 - 10a²c)
D. 4ab?(3b3-5a²c)
3. Which of the following will result in a difference of two squares?
A. Squaring a binomial
B. Squaring a trinomial
C. Getting the cube of a binomial
D. Multiplying sum and difference of a binomial
4. If (2p - 5)(A) = 4p2 – 25, then which of the following is the value of A?
A. 2p + 5
C. 4p + 25
B. 2p - 5
D. 4p - 25
5. Which of the following is a factor of x3 – b3?
A. X + b
B. x3 – bx + b3
C. X-b
D. x3 + bx - b3
True or False
Directions: Write "True" if the statement is true and write "False" if it is
false. (1 point each)
1. (2x)(x-4) are the factors of (2x? - 8x).
2. 2a(a +9) are the factors of 2a² +9.
3. (4a + 3)(4a -3) are the factors of (16a? -9).
4. (270'+1) is an example of sum of two cubes.
5. The greatest common factor of (12d +9) is 9.
ix
Answers
Answer:
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Given : 2d² - 8d
To Find : Which of the following is the process of finding the factors of the
mathematical expression
A. Common Monomial Factor
B. Difference of Two Cubes
C. Difference of Two Squares
D. Perfect Square Trinomials
Solution:
2d² - 8d
Take 2d common
= 2d(d - 4)
Hence Common Monomial Factor is the the process of finding the factors of the given mathematical expression
12a³b⁵ - 20a⁵b²c
= 4(a³b⁵ - 5a⁵b²c)
= 4a³b²(3b³ - 5a²c)
Multiplying sum and difference of a binomial will result in a difference of two squares
(a + b)(a - b) = a² - b²
(2p - 5)(A) = 4p² – 25
=> (2p - 5)(A) = (2p - 5)(2p + 5)
=> A = 2p + 5
x³ – b³ = (x - b) (x² + xb + b²)
(2x)(x-4) are the factors of (2x² - 8x) TRUE
2a(a +9) are the factors of 2a² +9 FALSE
(4a + 3)(4a -3) are the factors of (16a² -9). TRUE
The greatest common factor of (12d +9) is 9. FALSE
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