F(x) = 2x 3 + (a + 1)x 2 ax + b When f(x) is divided
Question:
F(x) = 2x3 + (a + 1)x2 – ax + b
When f(x) is divided by x – 1, the remainder is 5.
When f(x) is divided by x – 2, the remainder is 14.
Show that a = - 4 and find the value of b.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 58% (12 reviews)
When fx is divided by x 1 the remainder is 5 so we can write f...View the full answer
Answered By
BillClinton Muguai
I have been a tutor for the past 5 years. I have experience working with students in a variety of subject areas, including computer science, math, science, English, and history. I have also worked with students of all ages, from elementary school to college. In addition to my tutoring experience, I have a degree in education from a top university. This has given me a strong foundation in child development and learning theories, which I use to inform my tutoring practices.
I am patient and adaptable, and I work to create a positive and supportive learning environment for my students. I believe that all students have the ability to succeed, and it is my job to help them find and develop their strengths. I am confident in my ability to tutor students and help them achieve their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
Question Posted:
Students also viewed these Business questions
-
In problem find f (x) and find the value of x where f (x) =0 f(x) = (2x - 3)(x2 - 6)
-
In problem find fʹ (x) and find the value of x where fʹ (x) =0 f(x) = r2+9 9
-
Look back to figure and find the value of $1 invested in each asset class over this 81-year period. Calculate the geometric return for small-company stocks, long-term government bonds, Treasury...
-
The current zero-coupon yield curve of semi-annually compounded rates for risk-free bonds is as follows: 1.0 Years 1.5 Years 2.0 Years 2.5 Years 3.0 Years 9.00% 10.20% 3.00% 4.00% 6.20% MATURITY 0.5...
-
Name the types of mechanical observation and explain how they work.
-
To maintain a freezer box at \(-40^{\circ} \mathrm{C}\) on a summer day when the ambient temperature is \(27^{\circ} \mathrm{C}\), heat is removed at the rate of \(1.25 \mathrm{~kW}\). What is the...
-
Which of the following is an authorization control? a. fingerprint reader c. encryption b. compatibility test d. log analysis
-
Ladmilla Company has provided the following 2011 data. Required a. Prepare in good form a budgeted and actual income statement for internal use. Separate operating income from net income in the...
-
On January 1, 20X1, Florida Company, a small-sized entity, acquired a trademark for a line of products in a separate acquisition from a competitor for P300,000. Florida expected to continue marketing...
-
You are the plant accountant for a company that makes a popular brand of basketball shoes. Currently, your company sells 1,000 pairs of shoes each month for $100 apiece. The variable costs are 40% of...
-
a. Show that x 2 is a factor of x 3 x 2 x 2. b. Hence show that x 3 x 2 x 2 = 0 has only one real root and state the value of this root.
-
The polynomial f(x) = ax 3 + 7x 2 9x + b is divisible by 2x 1. The remainder when f(x) is divided by x 2 is 5 times the remainder when f(x) is divided by x + 1. i. Show that a = 6 and find the...
-
A population consists of the following five values: 0, 0, 1, 3, 6. a. List all samples of size 3, and compute the mean of each sample. b. Compute the mean of the distribution of sample means and the...
-
Helix Corporation uses the weighted-average method of process costing. It produces prefabricated flooring in a series of steps carried out in production departments. All of the material used in the...
-
A carnival ride spins its riders in a circle of radius 20 m. The angular speed of the ride is 10 rad/s. What is the magnitude of radial acceleration of the riders?
-
Do you feel prepared to speak with people in the world of work? Why or why not? Be sure to provide ample examples of both strengths and weaknesses - and what you plan on doing to correct these...
-
A 1.89 C charge is at the origin and a -11.04 C charge is 10 cm to the right, as shown. I Y t II 1.89 C -11.04 10 cm III t. Identify the direction of E in the re- gion II (0 < x < 10 cm, along the x-...
-
There is twelve Fallacies of Reasoning . We call people who cleverly use these techniques to further their self-interests Devils of Deceit . The Devils of Deceit use Motivated Reasoning , seeking to...
-
This problem is a variation of P 20-12, modified to consider income tax effects. Williams-Santana Inc. is a manufacturer of high-tech industrial parts that was started in 2006 by two talented...
-
Per Bag Direct materials: 25 pounds of CWhiz-2000 @ $0.08/lb. = $ 2.00 Direct labor: 0.05 hour @ $32.00/hr. = $ 1.60 The company manufactured 100,000 bags of Cheese-Be-Good in December and used...
-
A function is defined for x Rand is such that f(x) = 6x 6. The range of the function is given by f(x) 5. a. State the value of x for which f(x) has a stationary value. b. Find an expression for...
-
A curve is such that dy/dx = kx + 3, where k is a constant. The gradient of the normal to the curve at the point (1, 2) is 1/7. Find the equation of the curve.
-
a. Given that b. Hence, evaluate y = (x + 1) 10 find dy d.x
-
"Any single erroneous assumption can result in a negative effect where positive results were expected". Discuss what is meant by this statement using clear and vivid examples of estimate and...
-
Use the sample from Topic 2 DQ 1 and test that the population mean for rolling a single die is 3.5. Please explain the steps as I am trying to understand how to get the calculation Mean: 3.56 Median:...
-
Assume that the selling price ($) has a bell-shaped distribution or normal distribution. What is approximately 95% of houses have selling price ($) between 106854 and 1462664 dollar? Calculate X...
Study smarter with the SolutionInn App