Use the factor theorem to find a linear factor of each of the following functions. Then factorise

Question:

Use the factor theorem to find a linear factor of each of the following functions. Then factorise each function as a product of three linear factors and sketch its graph.

a. x³ − 7x − 6

b. x³ − 7x + 6

c. x³ + 5x² − x − 5

d. x³ − 5x² − x + 5

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics

ISBN: 9781510421646

1st Edition

Authors: Val Hanrahan, Jeanette Powell

See More Books

Question Posted: Sep 02, 2021 01:23 AM

See More Questions

Find the zeros of f (x) and sketch its graph by plotting points. Use symmetry and increase/decrease information where appropriate. 1. (x) = x2 - 4 2. f(x) = x3 4x 3. f(x) = 2 x3
A pediatrician wanted to find a linear model that relates a childs height,H, to head circumference, C. She randomly selects nine children from her practice, measures their height and head...
Three students are to find a linear model for the data in Table 28. Student A uses points (1, 5.9) and (2, 6.4), student B uses points (3, 9.0) and (4, 11.0), and student C uses points (5, 12.1) and...
Consider the pistoncylinder assembly containing a pure gas shown below. The initial volume of the gas is 0.05 m3, the initial pressure is 1 bar, and the cross-sectional area of the piston is 0.1 m2....
A 1.00-L container is filled with an ideal gas and the recorded pressure is 350 atm.We then put the same amount of a real gas into the container and measure the pressure. a. If the real gas molecules...
Lee Financial Services pays employees monthly. Payroll information is listed below for January 2011, the first month of Lees fiscal year. Assume that none of the employees exceeded any relevant wage...
What are the primary advantages of resolving a case through alternative dispute resolution methods rather than going to trial? In what situations might a trial be preferable?
Price and efficiency variances. Peterson Foods manufactures pumpkin scones. For January 2009, it budgeted to purchase and use 15000 pounds of pumpkin at $0.89 a pound. Actual purchases and usage for...
after determing a reported vulnerability was a credible claim the product security incident response team worked with develpment teams to create and test a patch. the patch is schedule t obe released...
a. What is the probability that the students loan will be approved by the bank within the next three months? b. If there is a 0.75 probability to get the loan, what is the probability that the bank...
When f(x) = x 3 + ax 2 + bx + 10 is divided by (x + 1), there is no remainder. When it is divided by (x 1), the remainder is 4. Find the values of a and b.
Multiply (x 3 2x 2 + 3x + 2) by (x 1).
Reporting Net Sales and Expenses with Discounts, Returns, and Bad Debts The following data were selected from the records of Sykes Company for the year ended December 31, 2011.Balances January 1,...
How well do you think employee surveys would do for a company looking to improve?
Why does a merchandising company using a perpetual inventory system include freight out in its closing entries, and not freight in?
4. Allow that the demand for sodas in Canada is, QP = = 600-200p (4) (a) (10 points) Suppose there are only two competitors in the market: Pepsi and Coke, and consumers are completely indifferent...
On May 1 of the current year, Grace, Laura, and Ann opened a business called Three Gals. Prior to opening Three Gals, they incurred the following costs: Purchase of fixtures $ 480 Accounting fees...
East Sand Company had the following amounts for 2021 and 2022. What was East Sand's days in inventory for 2021? The illustration is a table with four elements related to inventory and their related...
Show that if A is a matrix of the form then A must be defective. Ola 0a0 a)0
The Zwatch Company manufactures trendy, high-quality moderately priced watches. As Zwatch's senior financial analyst, you are asked to recommend a method of inventory costing. The CFO will use your...
Simplify each of the following. a. (3x 3 + 8x 2 + 3x 2) (x + 2) b. (6x 3 + 11x 2 3x 2) (3x + 1) c. (3x 3 11x 2 + 20) (x 2) d. (3x 3 21x 2 + 4x 28) (x 7)
Find the value of a in each of the following. a. x + 1 is a factor of 6x 3 + 27x 2 + x + 8. b. x + 7 is a factor of x 3 5x 2 6x + a. c. 2x + 3 is a factor of 4x 3 + ax 2 + 29x + 30.
Solve the following equations. a. x 3 3x 2 33x + 35 = 0 b. x 3 6x 2 + 11x 6 = 0 c. 3x 3 + 17x 2 + 18x 8 = 0 d. 2x 3 + 3x 2 17x + 12 = 0 e. 2x 3 3x 2 11x + 6 = 0 f. 2x 3 + 7x 2 5x 4 = 0 g....
How could a company motivate you more effectively? State your own unmet needs, the rewards you would find particularly appealing, and your job expectations. Be frank and opinionated - honesty will be...
Discuss business ethics and comparing, measuring and evaluating the ethical systems of Walmart, Apple and Amazon companies.
The IMF has more negative effects than positive effects. -is it biased against developing countries? -are the loans predatory? -does it aide in development of third world countries? Explain

Use the factor theorem to find a linear factor of each of the following functions. Then factorise

Question:

Step by Step Answer:

a Using the factor theorem we can see that if we substitute x 1 into the function we get 13 71 6 12 ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics

Students also viewed these Sciences questions