Republic of the Philippines
Department of Education
Region V - Bicol
SCHOOLS DIVISION OFFICE OF ALBAY
DARAGA NATIONAL HIGH SCHOOL
SAGPON, DARAGA, ALBAY
1st SUMMATIVE TEST in Mathematics 10
JUNIOR HIGH SCHOOL, 3rd Quarter
Name: _________________________________ Grade/Section: ___________ Date: _______ Score: ___
Direction: Read, analyze, and solve. Write your answer in the spaces provided or circle the letter of your answer
for the multiple-choice type of question. (The back space of the test paper can be used for your solution /
computations)
1. Which of the following is NOT a polynomial function?
a) 𝑓(𝑥) = 𝜋
2
b) 𝑓(𝑥) = − 3 𝑥 3 + 1
c) 𝑓(𝑥) = −𝑥 + √5𝑥 3
1
d) 𝑓(𝑥) = 𝑥 5 − 2𝑥 2
2. What is the leading coefficient of the polynomial function 𝑓(𝑥) = 𝑥 − 2𝑥 3 − 4?
_____________________________________________
1
3. Write the polynomial function 𝑓(𝑥) = 2 𝑥 − 𝑥 2 + 11𝑥 4 + 2𝑥 3 in standard form.
_______________________________________________
4. Which polynomial function in factored form represents the given graph?
a) 𝑦 = (2𝑥) + 3)(𝑥 − 1)2
b) 𝑦 = −(2𝑥 + 3)(𝑥 − 1)2
c) 𝑦 = (2𝑥 + 3)2 (𝑥 − 1)
d) 𝑦 = −(2𝑥 + 3)2 (𝑥 − 1)
5. What is the importance of identifying the degree and the sign of the leading coefficient of the polynomial
function? Give your reason.
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6. Which of the following could be the graph of 𝑦 = 𝑥 4 − 5𝑥 2 + 4?
7. What are the end behaviors of the graph of 𝑓(𝑥) = −2𝑥 + 𝑥 3 + 3𝑥 5 − 4?
_______________________________________________________________________
8. If you will draw the graph of 𝑦 = 𝑥 2 (𝑥 − 1), how will the Graph behave at the x-axis?
a) The graph crosses both (0,0), and (1,0).
b) The graph crosses (0,0) and is tangent to the x-axis at (1,0)
c) The graph crosses (1,0) and is tangent to the x-axis at (0.0)
d) The graph is tangent to the x-axis at both (0,0) and (1,0)
9. Given that 𝑓(𝑥) = 7𝑥 −3𝑛 + 𝑥 2, what value should be assigned to 𝑛 to make 𝑓
A function of degree 7?
7
3
3
a)− 3
b) − 7
c) 7
7
d. 3
10. A company will decide to continue to sell a certain brand of energy drink if they earned at least
𝑃ℎ𝑝 3, 000 in 6 days. The profit 𝑷(𝒊𝒏 𝒑𝒆𝒔𝒐𝒔) in a day is represented by the polynomial function
𝑷(𝒅) = 𝟓𝒅𝟑 + 𝟐𝟎𝒅𝟐 − 𝟑𝟎𝒅 − 𝟐𝟒𝟎 where 𝒅 is the number of days. How much is the profit after 6 days?
Will the company continue to sell the energy drink?
Parent’s Name over Signature: __________________________________
Date: _____________