Page 1 : SUMMATIVE TEST IN MATHEMATICS 10, QUARTER 2 – WEEK 1 - 2, SY 2021-2022, Name: _______________________________________, , Date: ___________, , Score: ______, , I. Multiple Choice: Read each item carefully. Write the letter of the best answer in the blank provided for each item., ____1. What should n be if f(x) = xn defines a polynomial function?, A. An integer, C. Any number, B. A nonnegative integer, D. Any number except 0, ____2. Which of the following is an example of a polynomial function?, A. 𝑓(𝑥) =, , 4, 𝑥3, , + 3𝑥 − 1, 3, , 3, 2, , B. 𝑓(𝑥) = 2𝑥 2 − 𝑥 2, , C. 𝑓(𝑥) = √7𝑥 − 2𝑥 6, D. 𝑓(𝑥) = 𝑥 3 + √3𝑥 - 5, , ____3. What is the leading coefficient of the polynomial function f(x) = 2x + x 3+ 4?, A. 1, B. 2, C. 3, D. 4, ____4. How should the polynomial function f(x) = 2x + x 3+ 3x5+ 4 be written in standard form?, A. f(x) = x3+ 2x + 3x5 + 4, C. f(x) = 4 + 2x + x3+ 3x5, B. f(x) = 4 + 3x5 + 2x + x3, D. f(x) = 3x5 + x3+ 2x + + 4, ____5. Which of the following could be the graph of the polynomial function y = x3 – 4x2 + 3x – 12?, , ____6. From the choices, which polynomial function in factored form represents the given graph?, A. y = (x + 2)(x + 1)(x – 1), B. y = (x + 1)(x – 1(x – 2), C. y = x(x + 2)(x + 1)(x -1), D. y = x(x + 1)(x – 1)(x – 2), , ____7. If you will draw the graph of y = x(x + 2)2, how will sketch it with respect to the x – axis?, A. Sketch it crossing both (-2, 0) and (0, 0)., B. Skecth it crossing (-2, 0) and tangent at (0, 0)., C. Sketch it tangent at (-2, 0) and crossing (0, 0)., D. Sketch it tangent at both (-2, 0) and (0, 0)., ____8. What are the end behaviors of the graph of f(x) = -2x + x3+ 3x5 – 4?, A. rises to the left and falls to the right, C. rises to both directions, B. falls to the left and rises to the right, D. falls to both directions, ____9. Your classmate Jess encounters difficulties in showing a sketch of the graph of y = 2x 3+ 3x2 – 4x – 6. You know that the, quickest technique is the Leading Coefficient Test. You want to help Jessa in her problem. What hint/clue should you give?, A. The graph falls to the left and rises to the right., B. The graph rises to both left and right., C. The graph rises to the left and falls to the right., D. The graph falls to both left and right., ____10. A car manufacturer determines that its profit, P, in thousandths of pesos, can be modeled by the function P(x) = 0.00125x 4+, x – 3, where x represents the number of cars sold. What is the profit when x = 300?, A. Php 101.25, B. Php 3, 000, 000.00, C. Php 1, 039, 500.00, D. Php 10, 125, 297.00

Page 2 : II. Determine if the given polynomial function is in standard form, then determine its degree, leading coefficient and number, of terms. Write your answers in the appropriate column., , Polynomial Function, 1., 2., 3., 4., 5., , Is it in Standard, form? (YES/NO), , Degree, , Leading, Coefficient, , Number of, Terms, , y = 2x2 – 3x + 5, y = 5x – 3x3 – x + 2, y = x4 + 7x – 2x2 + 1, y = 6x3- 5x + 9x2 - 11, y = 10x3 – 3x + 12, , III. Factor each polynomial completely using any method., 1. (x – 1)(x2 – 5x + 6), 2. (x2 + x – 6)(x2 - 6x + 9), 3. (2x2 - 5x + 3)(x – 3), 4. x3 + 3x2 – 4x – 12, 5. 2x4 + 7x3 – 4x2 – 27x – 18, III. Read and analyze the problem carefully then solve. Refer to the given scoring rubrics below., , =, , 6t4, , A demographer predicts that the population, P, of a town t years from now can be modelled by the function P(t), – 5t3 + 200t + 12, 000. What will be the population of the town be two years from now?, , Points, Manner, answering, questions, , Outstanding, 10, of Shows, clear, the understanding of, concepts, and, direct to the point, solutions, of, correct answers, , Scoring Rubric, Excellent, Very Good, 8, 7, Shows, clear Shows, broad, understanding of understanding of, concepts but not concepts but not, direct to the point direct to the point, solutions, of solutions, of, correct answers correct answers, , Prepared by:, , Good, 6, Shows, broad, understanding of, concepts, and, almost correct, solutions, of, answer, , Fine, 5, Shows, needs, improvement, understanding of, concepts, and, incorrect, solutions, of, answers., , Checked by:, MARK ANTHONY R. RAGUDO, Teacher 1, , VIOLETA B. SAGUIGUIT, MAEM, Master Teacher 1/Teacher-in-Charge