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: 60% (10 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.
-
Determine the mass moment of inertia I x of the right circular cone and express the result in terms of the total mass m of the cone. The cone has a constant density ?. -x-
-
What is meant by accounting symmetry between the entries recorded by the debtor and creditor in a troubled debt restructuring involving a modification of terms? In what ways is the accounting for...
-
Multiple Choice Questions 1. United First Bank, the nationwide banking company, owns many types of investments. Assume that United First Bank paid $700,000 for trading securities on December 3. Two...
-
newton labs leased chronometers from brookline instruments on January 1, 2021. brookline Chapter 15 Leases Problem 15-14 (slightly modified): Newton Labs leased chronometers from Brookline...
-
A physics class has 40 students. Of these, 12 students are physics majors and 16 students are female. Of the physics majors, three are female. Find the probability that a randomly selected student is...
-
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.
-
Why do brand names like Kodak, Disney, or Coca-Cola create customer value and provide a basis for product line positioning and differentiation?
-
Gordon Rivers, the city manager of Saratoga, Florida, pitched the proposed design schedule back at Jay Andrews. Jay Andrews is the project manager for Major Design Corporation (MDC). The city of...
-
Use the data from SE3-8 to prepare the closing entries for The Decade Company. Close the temporary accounts straight to retained earnings. The balance of \(\$ 8,500\) in the retained earnings account...
-
Draw a Keynesian cross diagram to show the effects of a rise in autonomous expenditure on an economy operating below full employment output.
-
Governments in many countries are acutely aware of the environmental problems that vehicle emissions can have. Many car manufacturers are exploring the production of electric vehicles, but production...
-
Draw a simple diagram of John Woodens pyramid of success. You can find it at the official Wooden website www.coachwooden.com/index2.html.
-
Redo Problem 23 using sales growth rates of 30 and 35 percent in addition to 20 percent. Assume the company wishes to keep its debt-equity ratio constant. Illustrate graphically the relationship...
-
A number of years ago the United Food and Commercial Workers Union organized 800 workers of the 1035 employees at one of the Wilson Brothers food operations in Toronto, Ontario. The employees include...
-
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)
-
Harper, Inc, acquires 40 percent of the outstanding voting stock of Kinman Company on January 1, 2020, for $316,100 in cash. The book value of Kinman's net assets on that date was $610.000, although...
-
Need a help for this! The following information is obtained from the records of Kaiser Company: On January 1, 2017 the following machines were acquired for cash: Production machines costs $ 6,000...
-
Book 51,500 Hint rint rences Raw Materials Inventory Debit Credit Beginning 10,100 Purchases 45,500 Available for use 55,600 DM used Ending 4,100 Work in Process Inventory Debit Credit Beginning...
Study smarter with the SolutionInn App