Question: 3. The polynomial 4x3 + Ar + Bx +9, where A and B are constants, is denoted by f(x). When f(x) is divided by

3. The polynomial 4x3 + Ar + Bx +9, where A and

3. The polynomial 4x3 + Ar + Bx +9, where A and B are constants, is denoted by f(x). When f(x) is divided by (x-2) the remainder is R. When f(x) is divided by (x-3) the remainder is 6R. (a) Show clearly that B-A 14 It is further given that (x+3) is factor of f(x). (b) Find the value of A and the value B. (c) Express f(x) as a product of a linear factor and a quadratic factor. (d) Show that the equation f(x) = 0 has only one real root.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Coble Woodworking Corporation produces fine cabinets. The company uses a job-order costing system in which its predetermined overhead rate is based on capacity. The capacity of the factory is...

i. The polynomial x 3 + ax 2 + bx + 8, where a and b are constants, is denoted by p(x). It is given that when p(x) is divided by (x 3) the remainder is 14, and that when p(x) is divided by (x + 2)...

MHF4U1 Exam Review 1. For each of the following graphs, state: i) the maximum ii) the minimum iii) the interval(s) where the function is increasing iv) the interval(s) where the function is...

1 . Let f(x) =-x(x-3)(x+2)(x-5) (a) What is the degree of the polynomial? (b) Find all the zeros of this polynomial and state their multiplicities. (c) Use this information to sketch the graph of f....

Question 1 3.75 / 5 points Match the integral with the u needed for u-substitution. Some choices of u will be used more than once, and some integrals will not need u-substitution. f dz 2-J V16427 L=...

59) 60) Which equation has the roots 3 + x/i and 3 x/i ? 61) 62) 63) A)x2-?x-4=0 C)x2+6x+7=0 B)x2-6x+7=0 D)x2-7x+6=0 Which equation has roots whose sum is 3 and whose product is 4? A)x2+3x4=0...

MATH 1001: Pre-Calculus Mathematics 3 14) Find an equation of a rational function f that satisfies the given conditions: |4 marks] Vertical asymptotes: x = -5,x = 2 Horizontal asymptotes: y = -2...

9/14/10 12:27 PM Page 321 Chapter dug84356_ch05a.qxd 5 Factoring The sport of skydiving was born in the 1930s soon after the military began using parachutes as a means of deploying troops. Today,...

SOLVE Questions 1-5: PLEASE AND THANK YOU 1: What is the difference between homogenous and non-homogenous differential equation? Write an example for each and solve it. 2: What is the main formula to...

In Problem 14.4 on page 583, you used sales and orders to predict distribution cost (stored in WareCost). Develop a regression model to predict distribution cost that includes sales, orders, and the...

a) A trial balance was extracted from the books of Rose Limited on 31" December 2010 and it was found that the credit side exceeded the debit side by sh 77. On 28th February 2011 all errors from the...

Como voc definiria o conceito de "competncia" do coach e como podemos saber se um coach ou outro profissional desenvolveu certas competncias

On May 2, 1987, Hannah acquired residential real estate for $450,000. Of the cost, $100,000 was allocated to the land and $350,000 to the building. On August 20, 2016, the building, which then had an...

Granite Stone Creamery sold ice cream equipment for $ 16,000. Granite Stone originally purchased the equipment for $ 90,000, and depreciation through the date of sale totaled $ 71,000. What was the...

Granite Stone Creamery sold ice cream equipment for $12,000. Granite Stone originally purchased the equipment for $80,000, and depreciation through the date of sale totaled $66,000. What was the gain...

Borat Company gives annual bonuses after the end of the year. Borat computes the bonuses based on the companys net income after deducting both the bonuses and the income taxes. Borats income before...

On March 31, 2012, Mainline Produce Corporation acquired all the outstanding common stock of Iceberg Lettuce Corporation for $34,000,000 in cash. The book values and fair values of Iceberg's assets...

Tori and some other childeen experimented with balls to see which ones rolled. First using a piece of cardboard to use as a ramp, they angled it on a block to the floor to test the balls. Then Tori...

Contrast multinational corporations, multidomestic corporations, global companies, and transnational, or borderless organizations.

Insert the missing words: Audit will be required to publish an annual audit plan formally approved by the . . . . . . . . . . . . . . . . . . . . . . a. chief executive officer b. CAE c. senior...

Which statement is least appropriate? Some of the features of the annual audit plan are as follows: a. It contains key audit areas for the next 12 months and explains why they were selected through a...