Given that x 3 is a factor of x 3 + ax 2 + bx
Question:
Given that x − 3 is a factor of x3 + ax2 + bx − 30, express a in terms of b.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (8 reviews)
If x 3 is a factor of x3 ...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
-
Establish identity. sin( + B) tan a + tan B cos a cos B
-
a. Show that x 2 is a factor of x 3 x 2 x 2. b. Hence show that x 3 x 2 x 2 = 0 has only one real root and state the value of this root.
-
Given that x + 4 is a factor of x 3 + ax 2 29x + 12, find the value of a.
-
Suppose that Q(x, y) is a function such that 1/Q(x, y) is continuous for all (x, y). Which of the following statements are true? (a) Q(x, y) is continuous for all (x, y). (b) Q(x, y) is continuous...
-
Dementia is a persons loss of intellectual and social abilities that is severe enough to interfere with judgment, behavior, and daily functioning. Alzheimers disease is the most common type of...
-
Although, in practice, sample data are generally analyzed in inferential studies, what is the ultimate objective of such studies?
-
The asset section of the statement of financial position and notes thereto of Megabus Ltd is shown below. Required (a) Calculate the changes in dollar amounts and percentages for the company. Cash...
-
The charter for WCAP-TV, Inc. authorizes the company to issue 100,000 shares of $2, no-par preferred stock and 500,000 shares of common stock with $1 par value. During its start-up phase, WCAP...
-
At greater than the critical angle: Part of the light reflects back into the n medium, the remainder travels along the boundary between the two mediums. The light is absorbed by the surface of the...
-
Consider the following hypothetical data for the U.S. economy in 2020 (all amounts are in trillions of dollars). Consumption ...................................... 11.0 Indirect business taxes...
-
The polynomial 3x 3 + ax 2 + bx + 8, where a and b are constants, is denoted by f(x). It is given that x + 2 is a factor of f(x), and that when f(x) is divided by x 1 the remainder is 15. Find the...
-
a. Use algebraic division to show that x 2 is a factor of 2x 3 + 7x 2 43x + 42. b. Hence, factorise 2x 3 + 7x 2 43x + 42 completely.
-
Which of the five classes of arthropods is the most diverse? Explain.
-
If I need $22,000 and a bank offers me a loan charging 5% interest annually, but the loan comes with an 11% compensating balance, how big of a loan will I need?
-
Consider a Naive Bayes classifier for a binary classification task in a two-dimensional feature space with P(x|C) ~ G(,), P(xC) G (2.2) and P(C) = P(C) = 1, where x = is a sample observation, ; is...
-
provide answers to all questions (a) What are the main criteria to be considered in the design of a line drawing algorithm for a raster graphics display? [2 marks] (b) Describe an algorithm to fill a...
-
A loan of $30,000 is to be paid back with semi-annual payments over 10 years at () = 8%. The first payment is R and each succeeding payment increases by 12%. Set up an amortization table. Graph the...
-
Explain the sentence below in each bullet: The Sustainable Development Goals (SDGs) (or Global Goals for Sustainable Development) are a collection of 17 global goals set by the United Nations General...
-
The design floor elevation for a building to be constructed is 332.56 ft. An instrument is set up nearby, leveled, and a plus sight of 6.37 ft taken on BM A whose elevation is 330.05 ft. If batter...
-
The following selected accounts and normal balances existed at year-end. Notice that expenses exceed revenue in this period. Make the four journal entries required to close the books: Accounts...
-
The histogram shown represents the times taken, in minutes, for 115 men to complete a task. Two men are selected at random from the group. Find the probability that the: a. First man took less than 1...
-
Each child in a group of 80 was asked whether they regularly read (R) or regularly watch a movie (M). The results are given in the Venn diagram opposite. One child is selected at random from the...
-
On any particular day, there is a 30% chance of snow in Slushly. Find the probability that it snows there on: a. None of the next 3 days b. Exactly one of the next 3 days.
-
96. Which of the following is most reactive towards nucleophilic substitution by SN1 mechanism? (1) -CI (2) Cl (3) CI (4) -CH2-CI
-
101. The use of bioresources by multinational companies and other organisation without proper authorisation from the countries and people concerned without compensatory payment it is known as :- (1)...
-
104. The below diagram represent a typical biogas plant. Select the correct option for A, B and C respectively. Gas B A Digestor (1) A-Sludge, B-Slurry, C-CH4+ CO (2) A-Slurry, B-Sludge, C-CH4+ CO...
Study smarter with the SolutionInn App