F(x) = x 3 + ax 2 + bx + c The roots of f(x) = 0

Question:

F(x) = x³ + ax² + bx + c

The roots of f(x) = 0 are 2, 3, and k.

When f(x) is divided by x – 1, the remainder is - 8.

a. Find the value of k.

b. Find the remainder when f(x) is divided by x + 1.

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

The following information has been taken from the consolidation worksheet of Graham Company and its 80% owned subsidiary, Stage Company. (1.) Graham reports a loss on sale of land of $5,000. The land...
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.
Find b such that f (x) = -4x2 + bx + 3 has a maximum value of 50.
HR Trends Institute https://hrtrendinstitute.com/(Links to an external site.) HR Technology Discuss IT changes that you have experienced at work such as new cash register or inventory system or...
The campus athletic center is trying to determine why more students do not use its facilities. Conduct a series of focus groups to determine what could be done to attract more students to the...
Determine the mass moment of inertia of the pendulum about an axis perpendicular to the page and passing through point O. The slender rod has a mass of 10 kg and the sphere has a mass of 15kg. 450 mm...
What are take-or-pay contracts and through-put contracts?
Use supply- and- demand diagrams to illustrate the qualitative effect of the following possible shocks on the U. S. avocado market. a. A new study shows significant health benefits from eating...
1. The income statement, balance sheet and additional data for White Media follow. White Media Income Statement Year Ended December 31, 2020 Revenues: Service revenue $236,000 Expenses: Depreciation...
Use information on the endpapers of this book to calculate the average density of the Earth. Where does the value fit among those listed in Tables 1.5 and 14.1? Look up the density of a typical...
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.
F(x) is cubic polynomial where the coefficient of x 3 is 1. The roots of f(x) = 0 are 3, 1 + 2 and 1 - 2. Express f(x) as a cubic polynomial is x with integer coefficients.
Perform a what-if analysis to calculate the p-values in Table 11.2.
Verify the results of Eq. (14.48) for the properties of the chiral projection operators. Data from Eq. 14.48 P = P+ P+ + P = 1 P_P+ P+P = 0 Py" = y P
Prove that the estimating equations in (11.13) are unbiased under MCAR, but are generally biased without the stringent MCAR assumption. (x) [y - f (xt;)] = 0, i=1 (11.13)
Refer to Figure 11.5: Which is the most expensive subcontract for this project? How much were the costs for the general contractor's crews for item 4? Figure 11.5 Division 1 2 3 4 5 6 7 Work Gen'l...
a. Using observations on the change in consumption $D C_{t}=C_{t}-C_{t-1}$ and the change in income $D Y_{t}=$ $Y_{t}-Y_{t-1}$ from 1959Q3 to 2015Q4, obtained from the data file cons_inc,...
Water at $20^{\circ} \mathrm{C}$ flows by gravity from a large reservoir at a high elevation to a smaller one through a 35-m-long, 5-cm-diameter cast iron piping system that includes four standard...
The most recent financial statements for Scott, Inc., appear below. Sales for 2020 are projected to grow by 20 percent. Interest expense will remain constant; the tax rate and the dividend payout...
Question 2 For an n x n matrix A = form) via (aij)
The diagram shows the curve y = (x 3) 2 and the line y = 2x 3 that intersect at points A and B. Find the area of the shaded region. A B y = (x-3) X y=2x-3
A curve is such that where k is a constant. Given that the curve passes through the points (6, 2.5) and (3, 1), find the equation of the curve. dy dx k x
A curve is such that dy/dx = 3 2x and (1, 11) is a point on the curve. a. Find the equation of the curve. b. A line with gradient 1/5 is a normal to the curve at the point (4, 5). Find the equation...
Question 3 (24 marks) Wonderful Technology Company Limited sells computers and accessories. Data of the store's operations are as follow: Sales are budgeted at $400,000 for December 2019, $420,000...
Kratz Manufacturing Company uses an activity-based costing system. It has the following manufacturing activity areas, related cost drivers and cost allocation rates: Activity Cost Driver Cost...
You are a Partner with Fix-It Consultants and have been engaged in an advisory capacity with a software company, called MoveFast. The company is seeing a sharp decline in revenue, with the primary...

F(x) = x 3 + ax 2 + bx + c The roots of f(x) = 0

Question:

Step by Step Answer:

Answer a k 4 b The remainder when fx is divided by x ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions