Question: When x + cx + d is divided by x + 1, the remainder is 3, and when it is divided by x - 2,

When x³ + cx + d is divided by x +

1, the remainder is 3, and when it is divided by x

When x³ + cx + d is divided by x + 1, the remainder is 3, and when it is divided by x - 2, the remainder is -3. Determine the values of c and d.

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!

Q:

9. When the polynomial ax + bx + cx + d is divided by 3x 2 , the quotient is 2x + 2x + 3 and the remainder is 7. Determine the values of a, b, c, and d. Here is an example of the same question done...

Q:

12. The function f(x) = ax' - x' + bx - 24 has three factors. Two of these factors are x - 2 and x + 4. Determine the values of a and 6, and then determine the other factor. 13. Consider the function...

Q:

You are given the following information about a corporation. The project will require an initial investment of $30,000 in 2019 that will be depreciated over a three-year period towards a...

Q:

CRYPTOGRAPHY math foundations 1. Let () = 6 + 3 + 2 + + 1 and () = 4 + 3 + 1 in (2)[]. Find the quotient of () () and the remainder. 2. Solve the system of modular equations: x =2 mod 3, x = 3 mod 7...

Q:

Car Armour sells car wash cleaners. Car Armour uses a perpetual inventory system and made purchases and sales of a particular product in 2 0 2 3 as follows: Jan. 1 Beginning inventory 1 1 0 units @ $...

Q:

1; Given P(x) = (x - a)(x b)(x c) . lf P(-2) = P0) = O and P(3) = 10 , find all the zeroes of P(x). [4 marks] 2. The polynomial P(x) = 2):3 +6):2 + 5x3 leaves remainder ax + b when divided by (J:2...

Q:

School D X Grades ( X M Inbox - s X M Whiters X 2 5.2 Prob X 4 5.2 Probl X 4 5.1 Prob X * Dashbor X | i A particl X | G A diagra x | 0 Mail - ly x | @ https://2 x | @ https://2 x | @ Sleep Ta x | @...

Q:

ONLY DO 6 6. When x'+ bx + cx-15 is divided by (x -3) the remainder is 33, and when divided by (x +1) the remainder is -7. Determine the values of b and c. 7. Sketch each of the following functions....

Q:

Question 4 (1 point) Listen When p(a) = 2ac + cac2 + dac - 5 is divided by (a - 1), the remainder is -5. When it is divided by (a + 1), the remainder is -1. Determine the values of c and d. Oa) c = 0...

Q:

EXAMPLE 6 A particle moves in a straight line and has acceleration given by a(t) = 12t + 10. Its initial velocity is v(0) = -4 cm/s and its initial displacement is s(0) = 9 cm. Find its position...

Q:

Give an example of a situation for which you would use an open-ended question and give the reasons this type of question would be appropriate for the situation.

Q:

A heat engine cycle is executed with ammonia in the saturation dome. The pressure of ammonia is 1.5 MPa during heat addition and 0.6 MPa during heat rejection. What is the highest possible thermal...

Q:

Due to which business activity can growth in sales cause a borrowing need?

Q:

McCune, her husband, and friends played paintball at the Myrtle Beach Indoor Shooting Range. She used a protective face mask provided by the Range. Before she played, she signed a general liability...

Q:

Multiple Choice Queistons 1. Now assume the acquisition cost to PR is $60,000 (not the right answer). Other facts are the same as originally reported. Goodwill reported on this acquisition is a....

Q:

Crow Co. purchased some of the machinery of Hare. Inc.. a bankrupt competitor, at a liquidation sale for a total cost of $90,800. Crow's cost of moving and installing the machinery totaled $8.200....

Q:

Delsing Canning Company is considering an expansion of its facilities. Its current income statement is as follows: Sales................................................................$5,500,000...

Q:

Prepare a bank reconciliation as of October 31 from the following information: a. The October 31 cash balance in the general ledger is $1,688. b. The October 31 balance shown on the bank statement is...

Q:

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...

Q:

Linden Corporation is preparing its December 31, 2006, financial statements. Two events that oc- curred between December 31, 2006, and March 10, 2007, when the statements were issued, are described...

Q:

An annual report of D. Robillard Industries states, "The company and its subsidiaries have long- term leases expiring on various dates after December 31, 2007. Amounts payable under such commit-...

Q:

Operating profits and losses for the seven industry segments of Roder Corporation are: Based only on the operating profit (loss) test, which industry segments are reportable? Genso Konami $ 90 Sergei...