F(x) = ax 3 + bx 2 + 5x 2 When f(x) is divided by x

Question:

F(x) = ax³ + bx² + 5x – 2

When f(x) is divided by x – 1, the remainder is 6.

When f(x) is divided by 2x + 1, the remainder is -6.

Find the value of a and of b.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Aug 23, 2021 01:34 AM

See More Questions

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
Find the value of a such that (a, a, 2) (1, a, 3) = (2, -4, 2).
Find the value of a bond maturing in 15 years, with a $1,000 par value and a coupon rate of 10.48% if the required rate of return on similar-risk bonds is 14%. The bond pays interest semiannually.
Question 13 Case Study - Little Pear Administration Pty Ltd (LPA) You are the payroll officer for Little Pear Administration Pty Ltd (LPA). Debra Foy is a company employee and has approached you with...
What are the advantages and disadvantages of the structured-direct survey method?
Donna Donie, CFA, has a client who believes the common stock price of TRT Materials (currently $58 per share) could move substantially in either direction in reaction to an expected court decision...
Box $\mathrm{A}$, which has an inertia of $2 \mathrm{~kg}$, and box $\mathrm{B}$, which has an inertia of $3 \mathrm{~kg}$, are $2.0 \mathrm{~m}$ apart on a low-friction floor. Box B is...
Income statements for Gaidar Company for 2014 and 2015 follow. Required Round all percentages to one decimal point. a. Perform a horizontal analysis, showing the percentage change in each income...
1. What is a data structure? 2. Why do we need data structures? 3. List some common data structures. 4. How data structures are classified? 5. Differentiate linear and non-linear data structure.
TufStuff, Inc., sells a wide range of drums, bins, boxes, and other containers that are used in the chemical industry. One of the companys products is a heavy-duty corrosion-resistant metal drum,...
F(x) is cubic polynomial where the coefficient of x 3 is 1. Find f(x) when the roots of f(x) = 0 are a. 2, 1 and 5 b. -5, -2 and 4 c. 3, 0 and 2.
F(x) = x 3 + ax 2 + bx + c The roots of f(x) = 0 are 1, k, and k + 1. When f(x) is divided by x 2, the remainder is 20. a. Show that k 2 3k 18 = 0. b. Hence find the possible values of k.
Find f. f''(t) = t 2 + 1/t 2 , t > 0, f(2) = 3, f'(1) = 2
In New York City at rush hour the chance that a taxicab passessomeone and is available is 15%. How many cabs can you expect topass you for you to find one that is free and what is thepropability that...
7. A 1,000-lb Mk 83 GP bomb is dropped on a tent suspected of housing Abu Bakr al-Baghdadi. It's dropped from a hovering Firescout UAS, 1500m above the surface. How fast will the bomb be falling when...
Problem: (EXTRA CREDIT) At King Arthur's round table there are 12 knights, such that each knight does not like his immediate neighbors. In how many ways can one choose 5 knights, so that any two of...
A population of red pandas is 9,400 and is decreasing by 2% annually. (a) Write an equation for P, the population at time t (in years), representing the situation. (b) How many red pandas are in the...
If six-foot-tall Madeleine casts an 108-inch shadow, then how tall is her friend if at the same time his shadow is one and a half feet shorter than hers?
A business executive is managing three branches, labeled A, B and C, of a corporation. She never visits the same branch on consecutive days. If she visits branch A one day, she visits branch B the...
You have just begun your summer internship at Omni Instruments. The company supplies sterilized surgical instruments for physicians. To expand sales, Omni is considering paying a commission to its...
Given that the curve passes through the point (1, 3), find: a. The equation of the curve b. The equation of the tangent to the curve when x = 4. dy. dx = SXVX+2.
Find each of the following. a. b. c. d. e. f. g. h. i. f(x+1) (x + 1)(x + 4)dx
The diagram shows part of the curve The shaded region is bounded by the curve, the y-axis, and the lines y = 1 and y = 3. Find the volume, in terms of , when this shaded region is rotated through 360...
During the period from 2011 through 2015 the annual returns on small U.S. stocks were -3.28 percent, 19.44 percent, 46.16 percent, 3.41 percent, and -3.60 percent, respectively. What would a $1...
Can you please help me figure out how to solve this, show all steps and clearly state assumptions. Question 32 0/3 pts This Problem Counts 3 Points Let's say that Saint Andrews Chips considers a 4th...
what can the duration of 5-year bond NOT be? a) 2 years b) 3 years c) 4 years d) 5 years e) none of the above

F(x) = ax 3 + bx 2 + 5x 2 When f(x) is divided by x

Question:

Step by Step Answer:

Answer B a 4 b 9 EXPLANATION To solve this problem use the rule of Remainder Theorem Accordi...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions