F(x) = 4x 3 + ax 2 + 13x + b F(x) has a factor of 2x
Question:
F(x) = 4x3 + ax2 + 13x + b
F(x) has a factor of 2x – 1 and leaves a remainder of 21 when divided by x – 2.
a. Find the value of a and of b.
b. Find the remainder when the expression is divided by x + 1.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 55% (9 reviews)
a To find the value of a and of b we can use the remainder ...View the full answer
Answered By
Rodrigo Louie Rey
I started tutoring in college and have been doing it for about eight years now. I enjoy it because I love to help others learn and expand their understanding of the world. I thoroughly enjoy the "ah-ha" moments that my students have. Interests I enjoy hiking, kayaking, and spending time with my family and friends. Ideal Study Location I prefer to tutor in a quiet place so that my students can focus on what they are learning.
5.00+
1+ 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
-
Factor A Factor B 1 2 3 4 Xj for Factor B 1 2 3 4 1 2500 2 9 10 6 9 8500 3 14 11 16 12 13250 Xi for Factor A 8333 8000 9000 7333 X8083
-
Find a such that f (x) = ax2 - 4x + 3 has a maximum value of 12.
-
Find x when f (X) = 99.34. Let f (x) = -3x + 7
-
1. What is the present value (PV") of an offer of $15,000 two years from now if the Opportunity Cost of Capital (OCC) is $12% per annum? 2. What is the PV of an offer to receive $12,000 three years...
-
In a group of five or six, discuss whether qualitative research is scientific.
-
Explain the importance of the demonstration of Joule's experiment in the formulation of the first law of thermodynamics.
-
Discuss the benefi ts of hiring an outside interim chief executive. What are the pros and cons of a board member acting as the interim chief executive?
-
The Coca-Cola Company is a global soft drink beverage company (ticker symbol = KO) that is a primary and direct competitor with Starbucks. The data in Exhibits 12.14 to 12.16 (pages 806-809) include...
-
Problem 3-26 Constraints on Growth Tinsley, Incorporated, wishes to maintain a growth rate of 15 percent per year and a debt-equity ratio of .2. The profit margin is 7.1 percent, and the ratio of...
-
BigZag Facing Zigzag Chandrima was thinking of a way out desperately. At least she needs a break! For the last two weeks, she has been working hard to settle some office issues and worked up to...
-
2x + 3 is a factor of 2x 4 + (a 2 + 1)x 3 3x 2 + (1 a 3 )x + 3. a. Show that 4a 3 9a 2 + 4 = 0. b. Find the possible values of a.
-
F(x) is cubic polynomial where the coefficient of x 3 is 2. The roots of f(x) = 0 are , 2 + 3 and 2 - 3. Express f(x) as a cubic polynomial is x with integer coefficients.
-
Some of the 270 spruces of a small forest stand are infested with rot (a fungus affecting first the core of the stems). Samples are taken from the stems of 30 randomly selected trees. (1) If 24 trees...
-
To shake her attacker, Woody flies directly upwards at 2 1 . 0 km / h ( woodpeckers can fly slightly faster than this when flapping their wings, but this particular woodpecker is a little weighted...
-
Identify two nontheatrical events that require people to engage in imitation or role - playing. How is imitation used in these situations? What makes these situations different from theater?
-
Assume that you have been asked to provide a position statement for your client to attend mediation in a family law case. The information in this case is the other parent who is the petitioner, Ms....
-
Here are the positions at three different times for a bee in flight (a bee's top speed is about 7m/s). Time 6.5s 6.7s Position )m Vavg,a (-5.3 ,9.9,0 (-0.399999999999999,6.9 ,0)m ,0)m (a) Between...
-
2. Density of Si and GaAs. (a) Calculate the volume density of atoms, namely the number of atoms/cm3 ) for Si and GaAs crystals, knowing the crystal structure for Si is diamond and for GaAs is...
-
Below are three independent and unrelated errors. a. On December 31, 2017, Wolfe-Bache Corporation failed to accrue office supplies expense of $1,800. In January 2018, when it received the bill from...
-
You are thinking of investing in one of two companies. In one annual report, the auditors opinion states that the financial statements were prepared in accordance with generally accepted accounting...
-
Find the volume obtained when the shaded region is rotated through 360 about the y-axis. a. b. 11 2 y=x + 2 X
-
A curve is such that and the point (9, 2) lies on the curve. i. Find the equation of the curve. ii. Find the x-coordinate of the stationary point on the curve and determine the nature of the...
-
a. Given that and state the value of k. b. Hence, find y 1 x-5 show that dy kx dx (x-5)
-
At 20 months, David loves playing with his blocks and has even attempted to build a 6-block tower, but his tower keeps falling down. His mother, Nicole, joins him when he plays with his blocks,...
-
A summary reconciliation of the government-wide and fund financial statements Must be presented at the bottom of the fund statements or in an accompanying schedule. Must be presented in the notes. Is...
-
Remember that statistics is basically counting things and making a scientifically supported decision about the results. Recently, many articles reported that the death rate for middle-aged Americans...
Study smarter with the SolutionInn App