h(x) = x 3 + 4x 2 + rx + s. Given h(1) = 0, and h(2)

Question:

h(x) = x³ + 4x² + rx + s. Given h(−1) = 0, and h(2) = 30:

a. Find the values of r and s

b. Factorise h(x).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

See More Books

Question Posted: Jul 14, 2023 11:51 PM

See More Questions

The potentiometer (adjustable resistor) Rx in Fig. 2.126 is to be designed to adjust current Ix from 1 A to 10 A. Calculate the values of R and Rx to achieve this?
The potentiometer (adjustable resistor) R x in Fig. 2.126 is to be designed to adjust current ix from 10 mA to 1 A. Calculate the values of R and R x to achieve this. Rx 110 V
Initially a hot dog costs $5, and a change in the market makes the price of a hot dog $12. At the same time, Kevin consumed 15 cups of coffee per week and now consumes 11 cups of coffee per week....
Consider the following. (a) Find aw s aw at (b) Find aw s w at w = x cos(yz), x = s, y = t, z =s - 2t aw aw by using the appropriate Chain Rule. (Enter your answers in terms of s and t.) s at aw s...
Pretzelmania, Inc., issues 7%, 15-year bonds with a face amount of $70,000 for $64,008 on January 1, 2015. The market interest rate for bonds of similar risk and maturity is 8%. Interest is paid...
A stock index is currently 1,500. Its volatility is 18%. The risk-free rate is 4% per annum (continuously compounded) for all maturities and the dividend yield on the index is 2.5%. Calculate values...
Managerial accounting (choose one) 1. Is directed at reporting aggregate data on the company as a whole. 2. Provides information that is widely available to all interested parties. 3. Must follow...
Janell Arden is a purchasing agentemployee for the A&B Coal Supply partnership. Arden has authority to purchase the coal needed by A&B to satisfy the needs of its customers. While Arden is leaving a...
estion 20 yet wered A,B and C are three partners sharing profits and losses in the ratio 3:2:1. They decided to admit D as a new partner and give him 1/7th share in profits. What is the new profit...
Jamie and Cecilia Reyes are husband and wife and file a joint return. They live at 5677 Apple Cove Road, Boise, ID 83722. Jamies social security number is 412-34-5670 (date of birth 6/15/1967) and...
Show that when 3x 3 2x 2 + 4 is divided by (x 1) the remainder is 5.
Given that (x 1) is a factor of 5x 3 9x 2 + 2x + a, find the value of a.
As the new head of internal audit for Blue Chip Bank, identify the control weaknesses that Brook exploited and explain the changes in procedure that you recommend to prevent a repetition.
Before beginning a study investigating the ability of the drug heparin to prevent bronchoconstriction, baseline values of pulmonary function were measured for a sample of 12 individuals with a...
which of the following (list all that apply) are advantages of a balanced binary search tree over an unbalanced one: 1. it requires less memory 2. it's faster to move from node to node 3. it's faster...
6) Do you find conditional probability problems challenging? Have you tried watching the videos on canvas and has it helped?
1. Determine the cost of heating 3 gallons of water (water weighs 8.33L per gallon ) at a room temperature of 22 degrees Celsius to the boiling point of 100 degrees Celsius at the energy rating of...
Writer One Inc. manufactures ball point pens that sell at wholesale for $0.80 per unit. Budgeted production in both 2018 and 2019 was 16,000 units. There was no beginning inventory in 2018. The...
Analysis how has a company implemented a corporate strategy or a future policy rollout. Consider a company that has done a strategy development, and is in the implementation phase, or has been...
The landing gear of an aircraft with: mass of 2000 kg the spring-mass-damper system Consider that the runway surface is y(t) = 0.2 cos 157.08t stiffness of the spring is 5 x 105 N/m. What is the...
Which of the following is the best operational definition of depression? a. Depression is defined as that low feeling you get sometimes. b. Depression is defined as what happens when a relationship...
Explain when you would use the Friedman test versus the Wilcoxon matched-pairs signed-ranks T test.
Imagine that marketing researchers working for a food company want to determine whether children would prefer ketchup of a different color. They develop red, green, and blue ketchups that all taste...
ABC Insurance Company reported the following information on its accounting statements last year: What was ABC 's expense ratio last year
Calculate the current ratio and the quick ratio for the following partial financial statement for Tootsie Roll Note: Round your answers to the nearest hundredth
Required information Skip to question [ The following information applies to the questions displayed below. ] Golden Corporation's current year income statement, comparative balance sheets, and...

h(x) = x 3 + 4x 2 + rx + s. Given h(1) = 0, and h(2)

Question:

Step by Step Answer:

To find the values of r and s and factorize hx we can substitute the given values of x and solve the ...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

Students also viewed these Mathematics questions