1. Which of the following is a perfect square trinomial ?
a. x2 + 10x + 10
b. x2 - 10x + 25
c. x2 - 10x - 25
d. x2 +10x - 25
2. What must be added to both sides of the equation to solve the equation x2 -2x+ 5 = 0
by completing the square ?
a. 5
b. -5
c. 2
d. -2
3. Which of the following can be written in the factored form ( x + 4 )2 = 0 ?
a. x2 - 8x + 16 = 0
b. x2 - 8x - 16 = 0
c. x2 + 8x + 16 = 0
d. x2 + 8x - 16 = 0
4. What must be added to the expression x2 + bx to make it a perfect square trinomial ?
a. b
b. b2
c. b
2
d.
b 2
2
5. Which of the following can be written in the form ( x - 7 )2 = 0 ?
a. x2 - 14x + 49 =0
b. x2 - 14x - 49 = 0
c. x2 + 14x + 49 = 0
d. X2 + 14x - 49 = 0
II.Enhancing Skills: Determine the constant that must be added to the expression to make it a perfect square trinomial .
1. x2 + 20x + ____
2. x2 - 12x + ____
3. x2 + 3x + ____
4. x2 + 7x + ____
5. x2 - 3 x + ____
5
III. Mastering Concept and Skills: Solve the quadratic equation x2 - 4x - 8 = 0 by completing the square .
Solution:
Answers & Comments
Verified answer
Answer:
1. B
2. B
3. C
4. (b/2)²
5. A
Step-by-step explanation:
II.
1. x² + 20x + __
x² + 20x + (20/2)²
x² + 20x + 100
2. x² - 12x + __
x² - 12x + (-12/2)²
x² - 12x + 36
3. x² + 3x + __
x² + 3x + (3/2)²
x² + 3x + 9/4
4. x² + 7x + __
x² + 7x + (7/2)²
x² + 7x + 49/4
5. x² - 3x + __
x² - 3x + (-3/2)²
x² - 3x + 9/4
III.
x² - 4x - 8 = 0
x² - 4x = 8
x² - 4x + (-4/2)² = 8 + (-4/2)²
x² - 4x + 4 = 8 + 4
(x - 2)² = 12
√(x - 2)² = √12
x - 2 = ±2√3
x1 = 2 + 2√3
x2 = 2 - 2√3
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