f(x) = 6x 3 + 17x 2 5x 6 a. Show that f(x) = (3x

Question:

f(x) = 6x³ + 17x² – 5x − 6

a. Show that f(x) = (3x – 2)(ax² + bx + c), where a, b and c are constants to be found.

b. Hence factorise f(x) completely.

c. Write down all the real roots of the equation f(x) = 0.

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

Step by Step Answer:

Related Book For answer-question

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

See More Books

Question Posted: Jul 14, 2023 11:51 PM

See More Questions

Let f be the absolute value function; that is, Show that and explain why f is not differentiable at x = 0. f(x) = x -x if x 0 if x < 0
f(x) = 2x 3 + 3x 2 8x + 3 a. Show that f(x) = (2x 1)(ax 2 + bx + c) where a, b and c are constants to be found. b. Hence factorise f(x) completely. c. Write down all the real roots of the equation...
Write a program in a script file that determines the real roots of a quadratic equation ax2 + bx + c = 0. Name the file quadroots. When the file runs, it asks the user to enter the values of the...
How could a company's "green" policies affect their reputation management and community-building strategies, both positively and negatively?
On January 1, 2015, White Water issues $600,000 of 7% bonds, due in 10 years, with interest payable annually on December 31 each year. Required: Assuming the market interest rate on the issue date is...
Describe what the video speaker says about moments of truth.
Briefly discuss the strengths and limitations associated with this approach and the specific design . Develop a hypothetical research scenario that would necessitate the use of the Action Research...
Comparative data on three companies in the same service industry are given below: Required: 1. What advantages are there to breaking down the ROI computation into two separate elements, margin and...
Information (feedback) from customers that use a large number of Charm Financial Bank's products or earn significantly more money annually than other customers may be useful, but particular attention...
Franchise taxes are levied on businesses that gain a franchise right of doing business in a jurisdictions territory. The data in Table 9.1 are franchise tax revenues in the city of Sunbelt, Florida,...
Divide x 4 16 by (x + 2).
The equation px 2 5x 6 = 0, where p is a constant, has two distinct real roots. Prove that p satisfies the inequality p > 25/24.
Several years ago, the Barnes Exhibit toured major cities all over the world, with millions of people flocking to see it. Because of the size and value of the collection, it was predicted (correctly)...
The population of children under 5 years in Whitefish, Montana on July 1 2015 was 2,350 with no population change reported for the next year. In that year, in a daycare of 150 children under 5 years...
In its first years of operations Hadley Productions reported the following operating income (loss) amounts: 2014 $ 431,000 2015 (850,000) There were no deferred income taxes in any year. In 2015,...
The cost of manufacturing (direct material and direct labor) is 75% of sales. Profit is 5% of sales. You should now be able to determine the remaining overhead (fixed costs). Determine the profit...
The central element in corporate governance is the challenges arising out of seperation of ownership and control. The shareholders are the true owners of a corporate and governance function controls...
Cigarettes are an especially dangerous product, and their manufacture, marketing, advertising, and sale raise a number of acute questions relevant to the consumer issues discussed in this chapter....
The store environment is heating up as more and more companies put their promotional dollars into pointofpurchase efforts. Some stores confront shoppers with videos at the checkout counter, computer...
2.) Find the Laplace transform of f(t) 7e-St cos 2t +9 sinh2 2t. Use Laplace Table. %3D
Calculate the mean, median, and mode for the following four distributions (a d): 11
Calculate the range, average deviation, and standard deviation for the following five distributions: a. 1, 2, 3, 4, 5, 6, 7, 8, 9 b. 24, 23, 22, 21, 0, 1, 2, 3, 4 c. 10, 20, 30, 40, 50, 60, 70, 80,...
The results of a recent survey indicate that the average new car costs $23,000 with a standard deviation of $3,500. The price of cars is normally distributed. a. If someone bought a car for $32,000,...
a. You are walking through a hardware store and notice two sales on tubing. 3 yards of Tubing A costs $5.49. Tubing B sells for $1.88 for 2 feet. Either tubing is acceptable for your project. Which...
Meg Lanning has sole income from a trust fund which will pay her $40,000 now, $30,000 in one year and $60,000 in two years time. Meg wishes to consume $32,000 now and $42,000 in one year. If the...
Income and Expenses Salary Employees' Provident Fund (EPF) 1. Particulars regarding John and his wife are as follows: Wife RM25,000 RM2,000 John RM85,000 RM6,000 LIP RM3,500 RM1,200 Books and...

f(x) = 6x 3 + 17x 2 5x 6 a. Show that f(x) = (3x

Question:

Step by Step Answer:

a To show that fx can be written as 3x 2ax2 bx c we need to expand the righthand side and compare it ...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

Students also viewed these Mathematics questions