Find the value of a and the value of b. f(x) = x 3 + ax 2
Question:
Find the value of a and the value of b.
f(x) = x3 + ax2 + bx − 5
f(x) has a factor of x − 1 and leaves a remainder of −6 when divided by x + 1.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (6 reviews)
We can start by using the factor theorem which states that if fx has a factor of x c then fc 0 ...View the full answer
Answered By
Mary Boke
I have teached the student upto class 12th as well as my fellow mates.I have a good command in engineering,maths and science.I scored 90+ marks in 10th and 12th in maths.
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
-
Find the value of a and the value of b in each of the following. a. x 2 + 3x 10 is a factor of x 3 + ax 2 + bx + 30. b. 2x 2 11x + 5 is a factor of ax 3 17x 2 + bx 15. c. 4x 2 4x 15 is a factor...
-
Find the value of a so that, if Z is a standard Normal random variable, then P(a Z 0.54) = 0.3898.
-
Find the value of a makes each equation true. a. 47,500,000 = 4.75 10a b. 0.0461 = a 10-2 c. 3.48 10-1 = a
-
Use the Chain Rule to evaluate the partial derivative at the point specified. /u and /v at (u, v) = (1,1), where f(x, y, z) = x + yz, x = u + v, y = u + v, z , Z = uv
-
Professor Weiss asked his introductory statistics students to state how many siblings they have. The responses are shown in the following table. Use single-value grouping. a. Determine a frequency...
-
The chapter emphasizes the importance of empathy. Consider this phenomenon: what, in your opinion, are three major advantages and three major concerns of applying empathy in workplaces?
-
Find the equation of the regression line for the data. Draw the regression line on the scatter plot.
-
James Carpenter contracted with Austin Estates, LP, to buy property in Texas. Carpenter asked Sandra McBeth to invest in the deal. He admitted that a dispute had arisen with the city of Austin over...
-
Calculating the Direct Labor Mix Variance Mangia Pizza Company makes frozen pizzas that are sold through grocery stores. Mangia uses two types of direct labor: machine operators and packers. Mangia...
-
If the redox potential for a soil at pH 6 is near zero, write two reactions that you would expect to take place. How would the presence of a great deal of nitrate compounds affect the occurrence of...
-
Solve. a. |2x + 1| < 3 b. |2 x| < 4 c. |3x 2| > 7
-
Given that x + 4 is a factor of x 3 + ax 2 29x + 12, find the value of a.
-
The January 1, 2012, trial balance, the calendar-year 2012 budget, and the 2012 transactions of the City of Roseburg are presented here: City of Roseburg Budget for General Fund Calendar Year 2012...
-
Determine dy/dr when 3x+4y = 3.
-
Problem 3. Doping a Semiconductor The following chemical scheme is used to introduce P-atoms as a dopant into a semiconductor - a silicon chip. POCI3 Cl POCI 3 vapor P P SiO2 + P(s) CVD coating Si...
-
The system shown in the following figure is in static equilibrium and the angle is equal to 34 degrees. Given that the mass1 is 8 kg and the coefficient of static friction between mass1 and the...
-
Pre-Writing step for a report for your boss on Richard Hackman's statement that using a team to complete a complex project may not be the best approach. Review your classmates' contributions to the...
-
For the graph of the equation x = y - 9, answer the following questions: the x- intercepts are x = Note: If there is more than one answer enter them separated by commas. the y-intercepts are y= Note:...
-
What is the maximum number of callers in each cell in AMPS?
-
For the following exercises, write the first four terms of the sequence. a n = 2 n 2
-
A certain horse has a 70% chance of winning any particular race. Find the probability that it wins exactly one of its next two races.
-
Two ordinary fair dice are rolled and three events are: X: the sum of the two numbers rolled is 6. Y: the difference between the two numbers rolled is zero. Z: both of the numbers rolled are even. a....
-
Three friends, Rick, Brenda and Ali, go to a football match but forget to say which entrance to the ground they will meet at. There are four entrances, A, B,C and D. Each friend chooses an entrance...
-
You are the digital marketing director for High West fashions, a regional clothing company that specializes in custom t-shirts. Your company has decided to launch an online advertising campaign that...
-
In-the-money put options will automatically get exercised at the expiration. True OR False
-
Which of the following examples of business-use property is NOT eligible for Section 1231 treatment when sold at a gain? * Sale of land held for three years. Net gain from a casualty gain on a dump...
Study smarter with the SolutionInn App