In the following long division problem, most of the steps have been completed: Зх — 5 2x + 1)6x? – 7x + 4. 6x² + 3x | -10x + 4 -10x – 5 ? Completing the step designated by the question mark, we obtain Thus, the quotient is and the remainder i . . The answer to this long division problem is

Q: 4. Find the remainder when P(x) = - 2x³ + 5x²-3x - 7 is divided by x - 3. 5. Find the remainder when…

A:

Q: What is the result when 2x +14x² + 19x is divided by x + 2? If there is a r(x) remainder, express…

A: Given information: 2x3+14x2+19xx+2

Q: 13 is divided by T(1) x + 4? If there is a remainder, express the result in the form q(x) + What is…

A: Here r(x) denote the remainder and b(x) = x+4 when we divide this then we get remainder to get…

Q: Without performing the operation of division, find the quotient using the pattern you learned for…

A: We have to find quotient for the given expression: x3+216x+6 We have 216=6×6×6=63 So rewriting the…

Q: Use the long division method to find the result when 4x³ – 26x² + 13x – 6 is r(x) divided by x – 6.…

A:

Q: Given p(x) = 2rs2 value of p(1). 4x", is it easier to evaluate p(1) by using synthetic division or…

A:

Q: Choose the division problem that cannot be done using synthetic division. (a) 2x – 4x? + 6x – 8 is…

A: To choose which of the given division problems cannot be done using synthetic division. Synthetic…

Q: A student asks how you can find the quotient and the remainder in a division problem like 593+36…

A: Multiply  16 by 36 ( 16 × 36=576) and subtract the result from the numerator 593  ( 593-576=16) to…

Q: when completing an additional problem, such as 123+423, you would carefully line up the numbers…

A: Consider the following expression:…

Q: Use the long division method to find the result when 3x³ + 10x² – 3x – 13 is divided by 3x+ 10. If…

A:

Q: In the following long division problem, the first two steps have been completed: 2x 3x – 5)6x² + &r…

A:

Q: When p (x)=x+ kx2 +8 is divided by x +3, the remainder is the same as when q(x)%3D2%³+ kx -21 is…

A:

Q: What is the remainder when dividing x2 + x + 7 by x – 1?

A:

Q: In the following long division problem, the first two steps have been completed: 2x 3x – 5)6x + 8r…

A: Given: We can solve given expression as, 3x-52x+66x2+8x-4-6x2-      10x18x-4-18x-30       24

Q: 1. use the remainder theorem to find the reminder of the following divisions and then check your…

A: Given: (a). ( 4x3 - x2 + 2x +1)  divided by ( x-5) If a polynomial P(x) is divided by the binomial…

Q: The remainder upon the division of x75+ 6 by x-3 in z, is: 5 6.

A: The remainder upon the division of x75+6 by x-3 in ℤ7is determined as shown below

Q: 1. Find the remainder when P(x) = 5x³ + x + 5 is divided by x + 3. 2. Find the remainder when P(x) =…

A: .

Q: I. Find the value of k so that the remainder in each division problem is (a) 21. (2x³ + 3x² + kx-2)…

A:

Q: Calculate the values of a, b, c in the polynomial p (x) = x³ + ax² + bx + c, knowing that it is…

A: ***I have to to find a, b, c from three simultaneous linear Equations.We can use row echelon form to…

Q: Fill in the blanks so that the resulting statement is true.

A: Given long division in which two steps have been completed. 3x-52x6x2+8x-4           6x2-10x…

Q: Consider the following long division problem: (6x - 4 + 2x3) ÷  (x+4)We begin the division process…

A: Given  (6x - 4 + 2x3) ÷  (x+4)

Q: Fill in each blank so that the resulting statement is true. In the following long division problem,…

A: From the given division,

Q: I. Find the value of k so that the remainder in each division problem is (a) 23. (x³ + kx² - 4x + 2)…

A:

Q: 2. Use Synthetic Division to find the quotient and remainder: x³ – 6x² + 5x + 15 is divided by x + 1

A:

Q: In the following long division problem, the first step has been completed: 2r 5x – 2)10x + 6x² – 9x…

A:

Q: What is the remainder when g1 – 23 – 19x² + 47x – 25 is divided by g2 + 2x – 15? O 2x – 5 O0 O -2x +…

A: Recall the remainder theorem: If a polynomial P(x) is divided by (x - a) then the remainder if…

Q: #9. USE SYNTHETIC DIVISION TO FIND THE QUOTIENT AND REMAINDER а. x – 8x – 5; x + 3 - 3x + 1; - 8 -…

A:

Q: What is the remainder when (5x^100 + 5) is divided by (x – 1)? * - 10 5 10 - 5 Factor:…

A:

Q: find the quotient and remainder 3x^3-12x^2-9x+2 over x+3

A: Given query is to find quotient and remaineder using synthetic division.

Q: How do you know by inspection that 3x2 + 5x + 1 cannot be the correct answer for the division…

A: Consider 3x3-7x2-22x+8(x-4). By long division, we have (x-4)3x2+5x-23x3-7x2-22x+8…

Q: Use the long division method to find the result when 12x4 + 25x³ + 19x² + 9x + 10 is divided by 3æ²…

A:

Q: The problem involve the Remainder Theorem.

A: Given, P(x)=x500+6x101-x2-2x+4 We know by remainder theorem ,if a Polynomial function P(x) is…

Q: What is the remainder when x - 5x +3x2 - s 2x +7 is divided by (x - 1)?

A:

Q: The polynomial 6x^3 + mx^2 + nx - 5 has a factor of x + 1. When divided by x - 1, the remainder is…

A:

Q: In using the synthetic division method to divide (3x5 -2x4 + 2x2 -3x + 5) by (x+4), the order for…

A:

Q: 4. Use what you have learned about the Remainder Theorem to show that X +1 is a factor of 19x42 +…

A: We will use the remainder theorem that states that the remainder is zero when we decide the function…

Q: 22. Find the quotient and the remainder for each of the followir x3-4x2+2x+5 1) x-2 4x3-2x2-3 2)…

A:

Q: To divide 4x3 - 8x - 2 by x + 5 using synthetic division, the first step is to write   __l__ __ __…

A: The synthetic division is another way to divide a polynomial by the binomial x-c, where c is a…

Q: What is the result when 2x- 13x2 - 5x - 14 is divided by x- 7? If r(x) there is a remainder, express…

A:

Q: 4 Use synthetic division to find the quotient and remainder when x + 2x³ - 7x² + 5x + 12 is divided…

A:

Q: If 2x³ 2x² - 9x² + 4x 7 is divided by x - 3 to give a quotient of 3x - 5 and a remainder of -22,…

A:

Q: In the following long division problem, most of the steps have been completed: Зх — 5 2x + 1)6x? –…

A:

Q: Use synthetic division to determine whether or not (x+5) is a factor of (4x3-10x2-8x+6) Quatient:…

A:

Q: 5. A friend was working on the problem: (10x³ + 18.x2 + 3x- 1) ÷ (5x + 4). 3 They got 2x² + 2x 1+ as…

A: From the exponents concept

Q: 15) Find the remainder of the polynomial 5x4 – 3x3 + 9x – 1 when divided by x + 3

A:

Q: In the following long division problem, the first step has been completed: 2x2 5x – 2)10x + 6x? – 9x…

A: Given 5x-22x210x3+6x2-9x+10

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.