usefulness of remainder theorem and long division

Q: 1. In Unit 1 you have learnt about the remainder theorem and long division. Compare and contrast…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Compare and contrast the usefulness of the remainder theorem and long division. Give an example of…

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Q: Define the remainder theorem and long division. Compare and contrast the usefulness of both.

A: Given, Definition Remainder theorem: If a polynomial f(x) is divided by a binomial equation (x-a),…

Q: Use the remainder theorem to find P(-2) for P (x) = 2x°+2x-2x-6. Specifically, give the quotient and…

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Q: A. Remainder Theorem Use the Remainder Theorem to find the remainder R in each of the following. 1.…

A: As we know that from statement of remainder theorm When a polynomial, f(x), is divided by a linear…

Q: Use the remainder theorem to find P(-3) for P (x)=x+3x-3x-5. Specifically, give the quotient and the…

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Q: rove the Remainder Theorem.

A: Statement: Remainder theorem: If a polynomial P(x) divided by he binomial (x-a) then the remainder…

Q: Topic: Remainder Theorem what is the remainder of x^3-64; x-4?

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Q: Based on the remainder theorem and long division, compare and contrast the usefulness of both

A: Remainder Theorem: If a polynomial fx is divided by a linear expression x-A, then the remainder will…

Q: Use the remainder theorem to find P(3) for P(x)= 2x^4-6x^3+2x-5 Specificially, give the quotient…

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Q: Use the remainder theorem to find P (1) for P(x)=x*-4x³ – 6x² +4. Specifically, give the quotient…

A: P(1)=13  For detail ...go through the solution

Q: What to reflect on and understand. Are you confident about your knowledge of division of…

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Q: 1. In Unit 1 you have learnt about the remainder theorem and long division. Compare and contrast the…

A: Hello. Since your question has multiple parts, we will solve first three parts for you. If you want…

Q: Synthetic Division and Remainder Theorem what is the remainder of x^3-64; x-4?

A: Explanation of the answer is as follows

Q: State the remainder theorem and the rational root theorem.

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Q: Use Taylor polynomial approximation to avoid loss-of-significance error in the following formula…

A: Proceed as shown below

Q: ) Describe some of the relevant problems and how the Chinese remainder theorem applies to them

A: Everyone knows 5² ends in 5 and 6² end in 6. Your task: find multi-digit numbers whose squares end…

Q: Assignment Description: 1. In Unit 1 you have learnt about the remainder theorem and long division.…

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Q: Use synthetic division and the remainder theorem to find the remainder when f(x) is divided by x-c.…

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Q: II. Use the Remainder Theorem to find the remainder when each polynomial is divided by the…

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Q: 15-24 - Long Division of Polynomials remainder using long division. Find the quotient and x³ + 2x?…

A: Given,          x6+x4+x2+1x2+1

Q: State and prove the Chinese Remainder Theorem.

A: The solution is given below:

Q: plz help out with these math questions. ANSWER IT WITH 7-8 PARAGRAPHS a) Describe the history of…

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Q: Use the remainder theorem to find P (2) for P (x)=-2x°+3x + 6. Specifically, give the guotient and…

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Q: II. Use the Remainder Theorem to find the remainder when each polynomial is divided by the…

A: In these problems we will use remainder theorem. When f(x) is divide by ax+b then remainder is…

Q: long division of polynomials 2x^2+3 √ 4x^2 +2x^2 +6x +18

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Q: A. Remainder Theorem Use the Renmainder Theorem to find the remainder Rin each of the foillowing. 1.…

A: Remainder Theorem:  If a polynomial f(x) is divided by x-a,then remainder is f(a)

Q: 2 Is a simplified method for dividing a polynomial by another polynomial with degree 1. A. Synthetic…

A: (2) Long method division   (3) Remainder theorem

Q: (A) Using the remainder theorem, determine whether (x - 4) and (x- 1) are factors of the expression…

A: Remainder theorem: The remainder of the polynomial fx when divided by a linear polynomial x-a is…

Q: (a)  Using the remainder theorem, determine whether (x − 4) and (x − 1) are factors of the…

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Q: Using the remainder theorem determine the remainder when x+5 is divided into:    y=3x3+7x2−12

A: NOTE: Refresh your page if you can't see any equations. . the remainder theorem is given by when the…

Q: Activity no. 2 Use the remainder theorem to find the remainder when the polynomial p (x) is divided…

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Q: NEED HELP with these math questions. PLZZ TRY TO ANSWER IT IN 9-10 PARAGRAPHS a) Describe the…

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Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 4x3 + 13x² – 5x + 3, C = 5…

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Q: What is the FOIL method? A rule for dividing fractions. BO A method of solving functions. A tool to…

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Q: Using the remainder theorem, which binomial divisor of f(x) results in a remainder of -90,916 for…

A: Given,         Using the remainder theorem , fx results ina remainder of -90916 for the function…

Q: True or False: To successfully do synthetic division, the polynomial does not have to be written in…

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Q: Use a degree 3 Taylor Polynomial to approximate square root of 16.2. Briefly explain your choice of…

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Q: Use the remainder theorem to find P(-3) for P(x)=-2x-5x'+3x+7. Specifically, give the quotient and…

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Q: 1 Remainder Theorem Use synthetic division and the Remainder Theorem to evaluate P(c). 39. P(x) =…

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Q: Use the remainder theorem to find P(-2) for P(x)=x^4+2x^3-6x^2+5.  Specifically, give the quotient…

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Q: ANSWER EACH QUESTION IN BOUT 5-10 PARAGRAPHS a) Describe the history of the Chinese remainder…

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Q: Performs division of polynomials using long division and synthetic division -Find the quotient by…

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Q: 3. (8 points) Let h(x) = x³+3x2 –13x+15. Express h(x) in the form h(x) = (x-3)q(x)+r. Use the…

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Q: 7. (a) State the Remainder Theorem. (b) State the Factor Theorem. (c) State the Rational Zeros…

A: To State: a. State Remainder Theoremb. State Factor Theoremc. State Rational Zeros Theorem

Q: PART C: Using what you know about Remainder Theorem and Factor theorem and your results above, which…

A: As per our guideline we are allowed to do 1 question or 3 subparts at a time. So please post other…

Q: 1. In Unit 1 you have learnt about the remainder theorem and long division. Compare and contrast the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In Unit 1 you have learnt about the remainder theorem and long division.Compare and contrast the…

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

Q: Use the remainder theorem to find P (3) for P (x)= x-4x- 4. Specifically, give the quotient and the…

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Q: True or False: If synthetic division produces a remainder of zero, then the binomial divisor is a…

A: If synthetic division produces a remainder of zero, then the binomial divisor is a linear factor of…