MATH 1148 College Algebra Name: SU 20, Form C 120 points Skills Check #5 Directions: Find...
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor over the real numbers f(x) = x + 3x - 13x - 15 Find the real zeros of Select the correct choice below and if necessary, fill in the answer box to complete your answer OAX= (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any rational numbers in the expression. Use a...
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x) = 2x2 - 4x2 - 38x + 76 Find the real zeros off. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. x = 2,719,- 19 (Simplify your answer. Type an exact answer, using radicals as needed.Use integers or fractions for any rational numbers in...
Find the complex zeros of the following polynomial function. Write fin factored form. f(x) = x3 - 13x² + 59x - 87 The complex zeros off are (Simplify your answer. Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
only questions "d through f" Name Math 1314 Lab Module 6 For each of the following problems, show all work. Simplify and clearly indicate all answers. 1. For the function f(x) = 3x - 4x° + x° +6x-2 a. State the degree of the polynomial. b. State the number of zeros the polynomial function will have. C. Use the Rational Zero Theorem to list all of the possible rational zeros d. Use trial and error to find two zeros of...
Find the equation in standard form of the parabola with focus (2, 5) and directrix X = -14. Use the Rational Zero Theorem to list possible rational zeros for the polynomial function. (Enter your answers as a comma-separated list.) P(x) = x2 + 3x2 - 6x - 8 X=
Q2 4 Points For questions 2.1 and 2.2, find and graph a polynomial function with the given zeros, multiplicities, and degree. (There are many correct answers.) Zero: -3, multiplicity: 1 Zero: 1, multiplicity: 3 Degree 4 Rises to the right Rises to the left Q2.1 2 Points Write the function definition. Leave your answer in factored form. You do not have to multiply it out. f(x) = (type your answer below or upload a picture) N Enter your answer here...
5. Let p(x) = 6 - 27r+ 39x2 – 3x - 15 (a) (2 points) How many zeros (real and complex, possibly with repetition) does f(x) have? What theorem did you use to get this answer? (b) (3 points) Determine all possible rational roots of p(x). (c) (2 points) What values from part (b) are actually roots of p(x)? You do not need to justify your answer. (d) (6 points) Find all other real and complex roots of p(x). Show...
Problem 3 (8 points) (a)Find the natural response and the COMPLEX forced response (2 points). (b) And then write the general REAL solution of the given differential equation (2 points). (c)Rewrite the forced response in POLAR form and sketch it on (y, t) AND on the PHASE (v, y) plane (3 points). (d) Sketch the solution of the INITIAL VALUE Problem y(0) 0, y (0) 0 using your sketches on both planes in part (c) (1 point) Use COMPLEX numbers!...
(5 points) A continuous function f, defined for all x, has the following properties: 1. f is decreasing 2. f is concave up 3. f(26) = -5 4. f'(26) = - Sketch a possible graph for f, and use it to answer the following questions about f. A. For each of the following intervals, what is the minimum and maximum number of zeros f could have in the interval? (Note that if there must be exactly N zeros in an...
(6 points) Use repeated substitution to find an exact (non-asymptotic) closed-form ex- pression (a non-recursive function of n) for the recurrence F(n) - 12 F(n-1)+2 n2 2 Show your work, and write your final answer in the box at the bottom of the page.