Given that for all values of x: 3x 2 + 12x + 5 = p(x + q)
Question:
Given that for all values of x: 3x2 + 12x + 5 = p(x + q)2 + r
a. Find the values of p, q and r.
b. Hence solve the equation 3x2 + 12x + 5 = 0.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (6 reviews)
To find the values of p q and r in the equation 3x2 12x 5 px q2 r we can compare the coefficients of ...View the full answer
Answered By
Ma Kristhia Mae Fuerte
I have extensive tutoring experience, having worked as a private tutor for over three years. I have tutored students from different academic levels, including high school, undergraduate, and graduate levels. My tutoring experience has taught me to be patient, attentive to student needs, and effective in communicating difficult concepts in simple terms.
I have a strong background in statistics, probability theory, data analysis, and data visualization. I am proficient in using statistical software such as R, Python, and SPSS, which are commonly used in academic research and data analysis. Additionally, I have excellent communication and interpersonal skills, which enable me to establish rapport with students, understand their learning styles, and adapt my teaching approach to meet their needs.
I am passionate about teaching and helping students achieve their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
For the following exercises, convert the polar equation of a conic section to a rectangular equation. r 4 2 + 2 sin 0
-
Copy and complete the following table. (a) (b) (c) (d) g(x) ? ? 1/x Vx f(x) Vx-5 1+1/x ? ? (fog)(x) Vx-5 X [x], x 0
-
Given that two discrete random variables X and Y follow the joint pdf pX,Y(x, y) = k(x + y), for x = 1, 2, 3 and y = 1, 2, 3, (a) Find k. (b) Evaluate pY|x(1) for all values of x for which px(x) > 0.
-
On December 31, 2021, there is a batch of commodities sold under FOB destination conditions in the shipping area, and this batch of commodities is not included in the inventory count middle. There is...
-
Petron Corporations management team is meeting to decide on a new corporate strategy. There are four options, each with a different probability of success and total firm value in the event of...
-
1. Jolene wants to drive from her house to the grocery store and then to the library. If her GPS suggests four routes from her house to the grocery store, and two routes from the grocery store to the...
-
Plaintiff sought to enforce against the defendant estate a promise made by his now-deceased uncle to pay Plaintiff a sum of money if Plaintiff refrained from the use of alcohol and tobacco for a...
-
Internal Indexes?Dollar-Value LIFO On January 1, 2010, Bonanza Wholesalers Inc. adopted the dollar-value LIFO inventory method for income tax and external financial reporting purposes. However,...
-
What type of failure has occurred when a new-product introduction loses money for the company when accounting for development, marketing, and production costs?
-
Explain the concept of window of opportunity as it relates to new start-ups, from idea conception through the final decision about whether to turn the idea into a reality.
-
The function f is defined as f(x) = 3 2x 28(3 x ) + 27, x. a. Write f(x) in the form (3x a)(3x b), where a and b are real constants. b. Hence find the two roots of f(x).
-
a. Find the discriminant of h(x) in terms of k. b. Hence or otherwise, prove that h(x) has two distinct real roots for all values of k. h(x) = 2x 2 + (k + 4)x + k, where k is a real constant.
-
Create a project meeting agenda for an upcoming project (or class) meeting you have.
-
a . On April 1 , the company hired an attorney for April for a flat fee of $ 5 0 0 . Payment for April legal services was made by the company on May 1 2 . b . As of April 3 0 , $ 1 , 4 1 2 of...
-
5) In the short run, if the Fed wants to fight a recession, should it buy or sell government securities? Why?
-
The 3 conditions of a perfectly competitive firm when it makes a profit, breaks even, loss?
-
How do we calculate FCFs back to their present value using the required rate of return. The required rate of return for Franklin Corporation is 13%, which reflects the risk associated with the...
-
Suppose $10,000 suddenly falls out of the sky and into your lap. Rather than spend it, you wisely invest it in an asset that pays an interest rate of 8% per year (compounded annually). At the end of...
-
In the 2014 tax year, Michelle paid the following amounts relating to her 2012 tax return: Tax deficiency............... $5,000 Negligence penalty............................. 1,000...
-
Distinguish between the work performed by public accountants and the work performed by accountants in commerce and industry and in not-for-profit organisations.
-
The sum of the first three terms of an arithmetic series is 12. If the 20th term is 32, find the first term and the common difference.
-
Carol starts a new job on a salary of 20,000. She is given an annual wage rise of 500 at the end of every year until she reaches her maximum salary of 25,000. Find the total amount she earns...
-
g: x cos x, 360 x 360 a. Sketch the graph of y = g(x). b. Sketch the graph of y = |g(x)|. c. Sketch the graph of y = g(|x|).
-
Stars produces energy by fusing hydrogen into helium, thus converting a tiny bit of mass into energy. For a low-mass star, a total of 210 29 kg of hydrogen is converted to helium during the star's...
-
Locate a dripping water faucet (or set a faucet to drip). Collect the water that drips from the faucet over a selected period of time (in a container sufficient to hold the water). Calculate the...
-
An astronaut initially at rest whose mass is 81 kg carries an empty oxygen tank with a mass of 7 kg. She throws the tank away from herself with a speed of 36 m/s which causes her to recoil the...
Study smarter with the SolutionInn App