a. Show that (x 2) is a factor of x 3 + 4x 2 3x
Question:
a. Show that (x − 2) is a factor of x3 + 4x2 − 3x − 18.
b. Hence express x3 + 4x2 − 3x − 18 in the form (x − 2)(px + q)2, where the values p and q are to be found.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (3 reviews)
To show that x 2 is a factor of the given polynomial x3 4x2 3x 18 we need t...View the full answer
Answered By
Akshaydeep Sonowal
I have ever been good in mathematics and its related subjects like sciences since high-school where I performed really well that till now I decided to pursue Economics because business has also been my thing all along ,I like teaching my juniours and also discussing with my colleagues has been my thing .I will always be available for any assistance needed in tutoring because its my passion working
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
-
a. Show that x 2 is a factor of 3x 3 14x 2 + 32. b. Hence factorise 3x 3 14x 2 + 32 completely.
-
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.
-
a. Show that (x 3) is a factor of 2x 3 2x 2 17x + 15. b. Hence express 2x 3 2x 2 17x + 15 in the form (x 3)(Ax 2 + Bx + C), where the values A, B and C are to be found.
-
2. Imagine a college basketball team has the following supply and demand figures for a typical game: Price 8 16 24 32 40 Quantity Demanded 28000 22000 16000 10000 4000 Quantity Supplied 16000 16000...
-
Quattro Technologies, a hydraulic manufacturer in the aeronautics industry, has reported steadily increasing earnings over the past few years. The company reported net income of $120 million in 2013...
-
Explain why hazard mitigation practices and emergency preparedness are important.
-
Refer to the statements for Google in Appendix A. For the year ended December 31, 2015, what was its debt-to-equity ratio? What does this ratio tell us? Data From Statement Google In Appendix A...
-
Carmin Kovach is single and has two children from her previous marriage. Anika, 9, lives with Carmin. Julius, 11, lives with his father, Ray. Carmin pays alimony of $400 per month to Ray. The...
-
A quadratic Bezier curve is defined by 3 points (PO, P1 and P2 The curve starts at PO and stops at P2. Other points are defined as P(t) in terms of t, PO, P1 and P2. Find point positions in curve for...
-
Selected transactions for Erins Events, a conference-planning business, are listed below. 1. Made a cash investment in the business. 2. Purchased a one-year insurance policy. 3. Purchased computer...
-
Prove that the solutions of x 2 + 2bx + c = 0 are x = -b b - C.
-
Find a counter-example to disprove each of the following statements: a. If n is a positive integer then n 4 n is divisible by 4. b. Integers always have an even number of factors. c. 2n 2 6n + 1 is...
-
Calculate the inflation-adjusted interest rate when the annualized inflation rate is 7% per year and the real interest rate is 4% per year.
-
What account(s) is/are credited when a production job is completed? Explain with example.
-
Describe a federal, state, or local policy regarding early childhood education, preferably a policy affecting your school or place of employment if your employment is a head start program.
-
How do recent pay transparency laws in several states impact corporate pay strategies? How was this surge in pay transparency influenced by Covid19 Pandemic? or was it? What other compensation trends...
-
So then given that this is a credit balance on Accounts Receivable this was already considered as your liability to the customer but why was it added back on the Trade receivables when it was the...
-
Go-Go Industries is growing at 45% per year. It is all-equity-financed and has total assets of $1 million. Its return on equity is 40%. Its plowback ratio is 55%. a. What is the internal growth rate?...
-
Swiss Legend, a watch brand, gets famous people to wear its colorful timepieces. One way it does this is to give away its product at awards shows. Publicists call this common practice gifting the...
-
Wholesalers Ltd. deals in the sale of foodstuffs to retailers. Owing to economic depression, the firm intends to relax its credit policy to boost productivity and sales. The firms current credit...
-
A researcher wondered about the degree to which age was a factor for those posting personal ads on Match.com. He randomly selected 200 ads and examined data about the posters (the people who posted...
-
In a study of racism, Nail, Harton, and Decker (2003) had participants read a scenario in which a police officer assaulted a motorist. Half the participants read about an African American officer who...
-
Ratner and Miller (2001) wondered whether people are uncomfortable when they act in a way thats not obviously in their own self-interest. They randomly assigned 33 women and 32 men to read a...
-
How do environmental factors, such as radiation exposure and chemical mutagens, induce chromosomal aberrations and genomic instability, and what are the consequences of genotoxic stress for cell...
-
Harrison Clothiers' stock currently sells for $24 a share. The stock just paid a dividend of $1.20 a share. The dividend is expected to grow at a constant rate of 12 percent a year. What stock price...
-
A pension plan is obligated to pay out $1 million at the end of year 2 and $3 million at the end of year 5. What is the duration if the interest rate is 10% annually?
Study smarter with the SolutionInn App