Solve each of the following division problems and show all your work: a) 413six / 5six   b) 2434 / 12five

Q: A playground is (x+7) units long and (x+3) Units way. If a square of side x is sectioned off from…

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Q: Find the following quotient (and remainder, if applicable) by LONG DIVISION: 3 - 6x + 12x – 8 2 x -…

A: use the division method to find the quotient and remainder.

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: How would I solve this using long division?

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Q: Solve (20a^4+3a^3-56a^2-4)\(5a-8) using synthetic division.

A: Solve the division using synthetic division method.

Q: Perform the indicated division. 7x -x+2

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Q: Create a cubic expression that when divided by (x-1) will have a remainder of 6

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Q: 1) Perform the indicated operations and simplify. 2 - x 3x2 + 21x r³ – 4x x² + 10x + 21 18x + 36 x…

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Q: Solve the following equations of the following polynomial   2x^3-8x^2-24x=0

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Q: The area of a rectangle is (x^2 + 8x + 12) cm^2. If the length of the rectangle is (x+6) cm, show…

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Q: Why is 1 not the identity for division?

A: let * be any operation. An element e is called identity if n*e = n , where n be any number.

Q: Without actual division , find the remainder obtained on dividing (3x² + 5x – 9) by (3x +2)

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Q: The remainder upon the division of x 98 + 4 by x – 4 in Z, is: 1 None

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Q: perform the indicated divisions. (2x3 + x2 - 3x + 1) ÷ (x2 + x - 1)

A: To evaluate: 2x3+x2-3x+1x2+x-1

Q: ompatible dividend for the division problem. 142 91 ÷ 90

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Q: Find both solutions and multiply them together! 8x2 + 9 = 401 %23

A: Find the solution and multiply  8x2 + 9 = 401

Q: From the given polynomials be able to solve each by factoring or any other way of solving to find…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

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

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 3. If one of the factors of (x2 + 12x + 20)is (x + 10). Find the other factor

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

A: Fill in the blanks.

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

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Q: Find the least common multiple of the denominators of 1/ (x2 - 1)  and 3/ (x2 + 4x + 3)

A: Given: 1x2-1 and 3x2+4x+3

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: (6x + 1)° (2x +9)°

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

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Q: How many roots does x2 − 4x + 5 have

A: Answer: 2 roots

Q: Use the long division method to find the result when 12x- x2-8x - 16 is divided by 3x- 4. .......…

A: We will use long division method to find remainder when 12x3-x2-8x-16 by 3x-4

Q: Solve the following polynomial: 2x4 - x2 -28= 0

A: given polynomial is quadratic equation in x^2.

Q: 6x²+5x-6

A: x = -3/2 , 2/3

Q: Find m so that x+4 is a factor of 5x^3 +18x^2+mx+16

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Q: if the equation is x^3-5x^2+4x-20 and I've been given the zero: -2i couldn't I just factor the…

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Q: 3x' +8y? +9x" =8x'+9x6 How many non-real roots does poly, have How icrational roots does poly have?…

A: A polynomial of highest degree n has total number of n roots which includes both real and…

Q: To multiply (5x + 3)(x² + 8x + 7), begin by multiplying each term of x² + 8x + 7 by of x? + 8x + 7…

A: The terms to be multiplied given is  (5x+3)(x2+8x+7)

Q: Use the long division method to find the result when 3x + 3x2 +x + 14 is divided by x +2. Answer:…

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Q: 4. Is (x + 1) a factor of x*- 1?

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Q: If f (x) = by a + 1? 5x° + 2x + 2, then what is the remainder when f(x) is divided %3D

A: Will use remainder theorem to find the remainder

Q: 1. Use Synthetic Division to divide and write the answer in the form (x – c)q(x)+ r(x): (10x3 + 28x²…

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Q: 1. (x³ – 37x – 84) ÷ (x – 7) -

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Q: Evaluate 8x if x =3.12 Is this a division problem or both?

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Q: Calculate (x* + 4x* – 3x + 6) + (x- 2) using long division. x² + 2x -7 remainder 20 x* + 6x + 33 a.…

A: Divide using division algorithm

Q: 9/(a-3).

A: suppose a∈Z and 9∣(a2−3). By definition of divisibility, a2−3=9p for some p∈Z. By the…

Q: perform the indicated divisions. (6x3 - 2x2 + 4x - 3) ÷ (x + 1)

A: The given expression is  (6x3 - 2x2 + 4x - 3) ÷ (x + 1)

Q: 5x How many linear and distinct factors are in the denominator of x³ + x2 + 4x+4

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Q: If q(x)=0.6x33x and a=3, what is q′(a) to the nearest tenth? (Do not include "q′(3)=" in your…

A: Firstly, we find the derivative of q(x) by using product rule of differentiation which states that…

Q: During a nationwide program to immunize the population against a new strain of the flu. Pullic…

A: Given data: The cost of inoculating x% of the susceptible population is approximately:…

Q: 1. Use the fact that every division problem can be rewritten as a multiplication problem with a…

A: Since you have asked multiple questions, we are answering the first question for you now. If you…

Q: When performing the division 3x (x + 2)2 x + 2 x - 4 ' I began by dividing the numerator and the…

A: Given: 3xx+2÷x+22x-4 We can write the given equation as, 3xx+2x+22x-4 We know that,…

Q: Perform each of the following divisions using both the repeated-subtraction and the standar a.…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.