quiz for special product

1. NAME: ______________________________________________ SCORE: ___________
GRADE & SECTION: _______________________________ DATE: _________________
QUIZ NO. 1 – FACTORING TECHNIQUES
Read carefully each question and the directions in order to have the correct answers.
I. FIND THE FACTORS. Factor completely each given expression. Write the solution and
box your final answer.
1. (2𝑥 − 3)(2𝑥 + 3) 6. (
5
7
𝑥 −
2
3
𝑦)
2
2. (𝑚 + 𝑛)(𝑚2
− 𝑚𝑛 + 𝑛2) 7. (2𝑑 − 3𝑒 − 4𝑓)2
3. (3𝑎 + 2𝑏)2
8. (2𝑎𝑏 − 3𝑐𝑑)2
4. (5𝑥 − 3𝑦)(4𝑥 + 2𝑦) 9. (
3
4
𝑎 −
4
5
𝑏) (
3
4
𝑎 +
4
5
𝑏)
5. . (𝑥 + 𝑦 + 𝑧)2
10. (
2
5
𝑥 −
3
8
𝑦) (
4
25
𝑥2
+
3
20
𝑥𝑦 +
9
64
𝑦2
)
II. MODIFIED TRUE OR FALSE. Write TRUE if the given statement is correct and if it is
not, change the underlined word/phrase to make the statement correct on the blank
before each number.
_________ 1. The square of the first term minus the square of the second term is
equal to the product of the sum and difference of the two terms.
_________ 2. The given binomial, 9x2 – 4y2 , can be rewritten as (3x)2 – (2y)2
_________ 3. The product of (2𝑎) and (5𝑥 − 3𝑦 + 6𝑧) is (10𝑥 − 6𝑦 + 12𝑧).
_________ 4. To determine if the given trinomial is a perfect square, first check if
first and last terms are perfect squares. Then the middle term should
be equal to the thrice the product of the square roots of the first and
last term.
_________ 5. The product of ( 2x – 5y ) ( 3x + 2y ) is 6x2 – 10xy – 10y2.
_________ 6. The factors (𝑥2
+ 𝑥𝑦 + 𝑦2) and (𝑥 − 𝑦)have a product of (𝑥3
+ 𝑦3).
_________ 7. The binomial, 8x3 + 1, is the product of (2x + 1 ) and (4x2 – 2x + 1)
_________ 8. The greatest common factor of 48 x5y3z2 + 36x3 y4z3 - 12 x3y3z4 is
(12x3y3z2).
_________ 9. The square of a trinomial, 𝑑 + 𝑒 + 𝑓, is 𝑑2
+ 𝑒2
+ 𝑓2
+ 𝑑𝑒 + 𝑑𝑓 + 𝑒𝑓.
_________ 10. The square of binomial, 𝑑 − 𝑒, is equal to 𝑑2
− 2𝑑𝑒 + 𝑒2
III.PROBLEM SOLVING.
1. The side of the square measures (2x+5) cm. What is the area of the square?
2. A rectangular pool has dimensions of (5x – 6) and (x + 2). What is the area of the
rectangular pool?
3. Dindo buy (4𝑚2
− 2𝑚𝑛 + 𝑛2) pieces of apples that cost (2𝑚 + 𝑛) pesos each.
How much is the apples that he bought cost?
4. Student A gives (4x-1)(x-3) as the answer to a factoring problem. Student B gets
(3-x)(1-4x). Which student is correct? Explain.
Prepared by: RAFAEL F. MAMANSAG JR.