F(x) = x 3 8x 2 + kx 20 When f(x) is divided by x

Question:

F(x) = x³ – 8x² + kx – 20

When f(x) is divided by x – 1, the remainder is R.

When f(x) is divided by x – 2, the remainder is 4 R.

Find the value of k.

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 Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Aug 23, 2021 01:34 AM

See More Questions

Find the value of k such that the line kx - 3y = 10 (a) Is parallel to the line y = 2x + 4; (b) Is perpendicular to the line y = 2x + 4; (c) Is perpendicular to the line 2x + 3y = 6.
Find the value of k that makes f(x) = kx (5 - x), 0 x 5, a valid PDF.
Find the value of k such that x - 4 is a factor of x3 kx2 + 2kx 8.
Suppose that the following equations describe an economy: C = 170 + 0.60YD M s = 735; P = 1 T = 200 I = 100 - 4i Md = 0.75Y - 6i G = 350 a) what is the equation for equilibrium in the goods market?...
As a small group of five or six, discuss the following statement: "Quantitative research is more important than qualitative research because it results in statistical information and conclusive...
Locate the centroid of the beam?s cross-sectional area and then determine the moments of inertia and the product of inertia of this area with respect to the u and v axes. 0.5 in., 4.5 in 4.5 in 0.5...
Assume the bonds in BE14-2 were issued at 98. Prepare the journal entries for (a) January 1, (b) July 1, and (c) December 31. Assume The Goofy Company records straight-line amortization annually on...
Twain Services offers leadership training for local companies. It employs three levels of seminar leaders, based on experience, education, and management level being targeted: guru, mentor, and...
Explain the difference between Limited and Reasonable Assurance, also give one example of each. Need Examples and evaluated answer.
Grano owns a forty-room motel on Highway 100. Tanner is interested in purchasing the motel. During the course of negotiations, Grano tells Tanner that the motel netted $30,000 during the previous...
F(x) = x 3 + 2x 2 6x + 9 When f(x) is divided by x + a, the remainder is R. When f(x) is divided by x a, the remainder is 2 R. a. Show that 3a 3 2a 2 18a 9 = 0. b. Solve the equation in part a...
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.
Coffee Bean, Inc. (CBI) is a distributor and processor of a variety of different blends of coffee. The company buys coffee beans from around the world and roasts, blends, and packages them for...
Kelly Corporation received an advanced payment of $\$ 30,000$ in 2018 from Rufus Company for consulting services. Kelly performed half of the consulting in 2018 and the remainder in 2019. Kelly...
Rosa Dominguez, the owner of Elegant Dining in San Jose, California, is pondering whether to buy electronic menu technology and tablets for her five-star restaurant. Prices for a typical four course...
Dura Corporation makes metal frames for several world brands of portable home generators. They sell the frames to a wide variety of portable generator manufacturers such as DeWalt, DuroMax, Generac,...
Rocker Industries (RI) produces recreational in-line skates (see Exhibit 14.36). Demand is seasonal, peaking in the summer months, with a smaller peak demand during December. For one of their more...
The BOM, current inventory, and lead time (in months) for the in-line skates in Rocker Industries (A) case is shown in Exhibit 14.37. Using the chase demand strategy, you developed in Rocker...
Use the sustainable growth rate equations from the previous problem to answer the following questions. Sourstone, Inc., had total assets of $430,000 and equity of $260,000 at the beginning of the...
Write a function that reads a Float24_t value: Float24_t float24_read(void) A legitimate float24 value string is of the form: "mantissabexponent" where the mantissa (m) and the exponent (e) may have...
Evaluate: Consider the area bounded by a. b. c. d. e. f. -1 (2x + 3) dx
Show that none of the following improper integrals exists. a. b. c. d. e. f. 00 S 4 6 dx
The diagram shows the curve y = x 2 + 11x 18 and the line 2x + y = 12 . Find the area of the shaded region. y=-x + 11x-18 B X 2x + y = 12
X Your answer is incorrect. Flounder Consulting Corp. company records revealed the following for the current year: What was the net cash flow from operating activities for the year? $ 0 $ 9 8 0 0...
Assume that interest rate parity holds. The U.S. fiveyear interest rate is 0.08 annualized, and the Mexican fiveyear interest rate is 0.05 annualized. Todays spot rate of the Mexican peso is $0.21....
find the NSP of a whole life insurance.6 with $100,000 Death benefits, for a female aged 105 years, if i=10%? (use Australian life Tables 2005-07) find the NSP of a whole life insurance.6 with...

F(x) = x 3 8x 2 + kx 20 When f(x) is divided by x

Question:

Step by Step Answer:

k 4 EXPLANATION Lets use the Remainder Theorem to solve this problem The Remainder Theore...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions