The polynomial 2x 3 + ax 2 + bx + c is denoted by f(x). The roots
Question:
The polynomial 2x3 + ax2 + bx + c is denoted by f(x). The roots of f(x) = 0 are −1, 2 and k. When f(x) is divided by x − 1, the remainder is 6.
a. Find the value of k.
b. Find the remainder when f(x) is divided by x + 2.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 63% (11 reviews)
a If the roots of fx are 1 2 and k then we can write fx as fx 2x1x2xk Expanding the righthand side u...View the full answer
Answered By
FELIX NYAMBWOGI
I have been tutoring for over 5 years, both in person and online. I have experience tutoring a wide range of subjects, including math, science, English, and history. I have also worked with students of all ages, from elementary school to high school.
In addition, I have received training in effective tutoring strategies and techniques, such as active listening, questioning, and feedback. I am also proficient in using online tutoring platforms, such as Zoom and Google Classroom, to effectively deliver virtual lessons.
Overall, my hands-on experience and proficiency as a tutor has allowed me to effectively support and guide students in achieving their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
A collar B of weight W is attached to the spring AB and can move along the rod shown. The constant of the spring is 1.5kN/m and the spring is unstretched when en = 0. Knowing that the coefficient of...
-
The polynomial 2x 3 + ax 2 + bx + 6 is denoted by p(x). a. Given that (x + 2) and (x 3) are factors of p(x), find the value of a and the value of b. b. When a and b take these values, factorise p(x)...
-
Find a parabola y = ax2 + bx + c that passes through the point (1, 4) and whose tangent lines at x = -1 and x = 5 have slopes 6 and - 2, respectively.
-
Onefifth of a hive of bees flew to the Kadamba flower; one-third flew to the Silandhara; three times the difference of these two numbers flew to an arbor, and one bee continued flying about,...
-
The U.S. Federal Bureau of Investigation publishes annual crime rates for each state and the District of Columbia in the document Crime in the United States. Those rates, given per 1000 population,...
-
A ball is thrown from the top of a 100-foot tower with a velocity of 28 feet per second. (a) Find the equation that represents the parabolic path. (b) How far does the ball travel horizontally before...
-
What is the usual liability of stockholders for corporation actions? a. Unlimited b. Limited to the par value or stated value of the shares of stock they hold c. Limited to the amount of their...
-
Mullineaux Corporation has a target capital structure of 60 percent common stock, 5 percent preferred stock, and 35 percent debt. Its cost of equity is 12 percent, the cost of preferred stock is 5...
-
The table shows the results of a survey of patrons of a particular restaurant chain. Meals Good Service Poor Service Total Lunch 509 328 837 Dinner 924 639 1563 Total 1433 967 2400 If one of these...
-
Good Health, an NFPO, conducts two types of programs: education and research. It does not use fund accounting. During 2013, the following transactions and events took place. Prepare journal entries...
-
The polynomial x 3 5x 2 + 7x 3 is denoted by p(x). a. Find the quotient and remainder when p(x) is divided by (x 2 2x 1). b. Use the factor theorem to show that (x 3) is a factor of p(x).
-
a. It is given that x + 1 is a common factor of x 3 + px + q and x 3 + (1 p)x 2 + 19x 2q. Find the value of p and the value of a. b. When p and q have these values, factorise x 3 + px + q and x 3 +...
-
Prove that J n (β) can be expressed as and use this result to show that J -n (β) = (-1) n J n (β) cos(B sin x )dx J(B) =
-
Cost effectiveness assignment For this assignment, you are being asked to evaluate the cost-benefit of one of four public health issues. You will be assigned to one of the following (see Week 3...
-
You are inside a spaceship in deep space, far away from any stars. Your engines are off and you believe that your spaceship is stationary. You look out and see Phil and Victor approaching you from...
-
Solve the following question from the data given below. 4 1.9 7.8 16 0.71 2 [1.22 X X 43 #1719 Similar question X 04 08 y 800 980 8.7 solve using Gauss- Jordan solve using LU Decomposition 2 2.3...
-
The general management knowledge and practice competency area includes knowledge and skills such as: 1. risk management, schedule development, cost estimating and budgeting, and requirements...
-
Luzadis Company makes furniture using the latest automated technology. The company uses a job - order costing system and applies manufacturing overhead cost to products on the basis of machine -...
-
Use linearity and the assumption that Vo = 1V to find the actual value of Vo in Fig. 4.75. Figure 4.75 For Prob. 4.7. 1 4 3 4 V
-
What is the order p of a B + -tree? Describe the structure of both internal and leaf nodes of a B + -tree.
-
The following table summarises the number of tomatoes produced by the plants in the plots on a farm. a. Calculate an estimate of the mean number of tomatoes produced by these plots. b. The tomatoes...
-
On Monday, a teacher asked eight students to write down a number, which is denoted by x. On Tuesday, when one of these students was absent, they asked them to add 1 to yesterdays number and write it...
-
Eighty candidates took an examination in Astronomy, for which no candidate scored more than 80%. The examiners suggest that five grades, A, B, C, D and E, should be awarded to these candidates, using...
-
The market value of an investment project should be viewed as the sum of the standard NPV and the value of managerial options. Explain three different real or managerial options that management may...
-
We are going to be spending a lot of time together, Michael, so I think we need to make the best of it." There was an underlying tone of parental condescension in Emma Nelson's voice as she spoke to...
-
Giant Food Stores location in Camp Hill, PA received proposals from 3 bidders to resurface its roof. The proposal includes installation of a new roof membrane followed by 3 years of follow-up coating...
Study smarter with the SolutionInn App