Let f(x) = ax 2 + bx + c, where a, b, and c are odd integers.

Question:

Let f(x) = ax² + bx + c, where a, b, and c are odd integers. If x is an integer, show that f(x) must be an odd integer.

x is either an even integer or an odd integer.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

See More Books

Question Posted: Dec 31, 2018 10:42 AM

See More Questions

(a) Show that the set of all functions of the form f(x) = (ax2 + bx + c) ex for a, b, c, R forms a vector space. What is its dimension? (b) Show that the derivative D[f(x)] = f(x) defines an...
Consider f(x) = Ax2 + Bx + C with A > 0. Show that f(x) 0 for all x if and only if B2 - 4AC 0.
Let f(x) = ax2 + bx + c. show that Both have the value (h/3)[a(6m2+2h2) + b(6m) + 6c]. This establishes the area formula on which the Parabolic Rule is based. f(x) dx and h 4(m) + f(m + h)]
Ten thousand dollars is deposited in a savings account at 4.6% interest compounded continuously. When will the balance triple? O within a year of investment. O In 10 years approximately. none of the...
A Municipal wastewater-treatment plant receives a seasonal discharge from a fruit processing plant. Influent flows are strengths of the water when the industry is both on- and off-line are given...
Describe the five-step approach to combining nominal and real forecasts.
10. Problem identification and resolution. Were mechanisms in place for team members to identify potential problems early? Did appropriate team members participate in problem solving? Was problem...
Think of various product categories. In each segmentation scheme, to which segment do you feel you belong? How would marketing be more or less effective for you depending on the segment? How would...
Al Maha Engineering Company is listed in Muscat Securities Market. The total Capital Invested in a company is 25 million in which loan from Bank was 8 million. For the year 2018 company has...
Provident Company purchased an equipment on July 1, 2020 for P1,500,000 cash for the purpose of leasing it. The equipment has an estimated useful life of 10years from the date of purchase. On October...
On one set of coordinate axes, graph the family of parabolas f(x) = x 2 + 2x + c for c = -3, c = 0, and c = 1. Describe the characteristics of a member of this family.
Find a quadratic function whose x-intercepts are -1 and 5 and whose range is [, 9).
Now that you are a famous businessperson, you are frequently asked to make after-dinner speeches on business topics. Without thinking about it too much, you agreed to make a speech on accrual...
What is the discount rate? PV = 7 0 0 ; t = 5 year period; FV = 1 0 0 0
How is planning illustrated in this case story? How is strategic management illustrated in this case story? The new CEO stated that the CEO's job is to give employees a point of view. Explain what...
Explain the Following Questions: 1. What essential characteristics exist in a proper understanding of "personal mastery," so that as an individual achieves greater progress in this discipline, they...
Few people want to eat discolored french fries. Potatoes are kept refrigerated before being cut for french fries to prevent spoiling and preserve flavor. But immediate processing of cold potatoes...
Part 3 of 4 Points: 0.49 of 1 Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X)...
Express the moment of the couple acting on the pipe assembly in Cartesian vector form. What is the magnitude of the couple moment? X Z 3 ft 1.5 ft X 1 ft. 20 lb. B 20 lb 1 ft 2 ft
Starr Co. had sales revenue of $540,000 in 2014. Other items recorded during the year were: Cost of goods sold ..................................................... $330,000 Salaries and wages...
In Problems 4366, find the real solutions, if any, of each equation. Use the quadratic formula. 9t 2 - 6t + 1 = 0
In Problems 4366, find the real solutions, if any, of each equation. Use the quadratic formula. 5x = 4x 2
In Problems 4366, find the real solutions, if any, of each equation. Use the quadratic formula. 3 1| x = 1 5
business law A partner may actively compete with the partnership True False
A company provided the following data: Selling price per unit $80 Variable cost per unit $45 Total fixed costs $490,000 How many units must be sold to earn a profit of $122,500?
Suppose a 10-year, 10%, semiannual coupon bond with a par value of $1,000 is currently selling for $1,365.20, producing a nominal yield to maturity of 7.5%. However, it can be called after 4 years...

Let f(x) = ax 2 + bx + c, where a, b, and c are odd integers.

Question:

Step by Step Answer:

If x is even then ax 2 and bx are even When ...View the full answer

Precalculus

Students also viewed these Mathematics questions