P(x) = Q(x) + D(x) R(x) D(x) Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express the quotient P(x)/D(x) in the form P(x) = 3x3 + 9x2 – 5x – 1, D(x) = x + 4 P(x) D(x) %3D

Q: • performs division of polynomials using long division and synthetic division. LONG DIVISION e.g. 1.…

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Q: The polynomial f(x) has a remainder (3x-4) on division by 2x²+x-3. The polynomial g(x) has a…

A: Solution:-

Q: The sum of coefficients of the polynomial f(x) is equal to 2 and the sum of coefficients in even…

A: A polynomial f(x) can be represented by f(x)=a0xn+a1xn-1+...+an-2x2+an-1x+an where…

Q: Find the zeros of the polynomial: f(x) = x³ − 3x² + 4. Zeros of the polynomial and their…

A: To find the zeros and their multiplicities of the following polynomial. fx=x3-3x2+4By using…

Q: Using long division, you can calculate that 2x3 – 16x² + 7x – 37 R(x) Q(x) + 2x2 + 5 | f(x) = 2x2 +…

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Q: Use polynomial long division to find the oblique asymptote of f. f(x)= (12x^3+6x^2+3x+2)/2x^2+2

A: To use polynomial long division to find the oblique asymptote of f. f(x)=12x3+6x2+3x+22x2+2

Q: Let f(x) be a polynomial with real coefficients. The polynomial f(x) leaves the remainder 2x +1 when…

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Q: Use the graph of the polynomial function f(x) (a) to solve f(x) = 0, and (b) find the factorization…

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Q: a. 2i is a zero of g(x). Explain why -2i must also be a zero of g(x). b. Show how to use Synthetic…

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Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: Given           P(x) = x5 + x4 − 8x3 + 7x + 7,            D(x) = x2 + x − 1

Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros -2,…

A: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros -2,…

Q: Determine the multiplicity of the root = 1, of the polynomial P(x)=x5-2x4 +4x3-x2 -7x+5=0 using…

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Q: Q5.2 5 Points Calculate the quotient and remainder on division of f(x) = 4x³ – 2x² + 5x – 3 by g(x)…

A: please see the next step for solution

Q: (b) Factor P completely and find all its zeros. (Use Synthetic division)

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

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: The polynomial  P(x) = 5x2(x − 1)3(x + 8)  has degree  . It has zeros 0, 1, and  . The zero 0 has…

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Q: A) Find the rational zeros of the function f(X)=x^4-6x^3+9x^2+6x-10. Then, factor f(x) into linear…

A: (A) Take x=1 and substitute it in the function.

Q: Using long division, you can calculate that…

A: Given,

Q: Find a polynomial function P, with real coefficients, that has the indicated zeros and satisfies the…

A: Complex zeroes occurs in pair. So if a+bi is a zero, other zero is a-bi If x=a is a zero, then its…

Q: Find a polynomial function of degree 4 with -4 as a zero of multiplicity 3 and 0 as a zero of…

A: topic- polynomials

Q: 2. Find the Zeros of a Polynomial Function: x3 + 2x2 + 25x + 50 Process: x3 + 2x² + 25x + 50 →…

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Q: 6. Use the Remainder Theorem to find f(-1/3) if f(x) = 6x5 - x4 + 11x3 - x + 51

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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: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. 3, 4i

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Q: 9.The quotient of a third-degree polynomial in x and a first-degree polynomial in x when equated to…

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Q: wo polynomials P and D are given. Use either synthetic or long division to divide  P(x)  by  D(x),…

A: Given: Px=2x3+8x2-3x-1, Dx=x+5. We have to use either synthetic or long division to divide…

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

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

Q: Find a polynomial function of degree 5 with -2 as a zero of multiplicity 3, 0 as a zero of…

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Q: synthetic division to find the value of ( x + 2 ) for                 P (x )  =  x3 + -x2  + 3x + 3

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Q: II. Use synthetic division method to finc the solution on the space provided. Set A 1. (x³ – 3x² +…

A: Given is (x3-3x2+5x+3)÷(x-3) The solution is provided below

Q: 6x2 -x - 7 20. 3x +1

A: (6x ^ 2 - x - 7)/(3x + 1) divide polynomials using synthetic division

Q: Pin

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Q: Find a polynomial with real coefficients of degree three, with zeros of the polynomial being x=(1+i)…

A: From the polynomial

Q: 10. An equation of a polynomial with zeroes: -1 (order 2), 2 order (3) and O is 11. The remainder of…

A: As per the company guidelines we can solve first three parts . I hope that the given solution will…

Q: Find a polynomial function of degree 4 with - 2 as a zero of multiplicity 3 and 0 as a zero of…

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Q: 4. How should the polynomial function f(x) = -x + 2x³ + 3x5 – 6 be written in standard form? A. f(x)…

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Q: If you have a polynomial, the possible rational zeros are: factors of constant term factors of…

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Q: Show the synthetic division work that reveals the two real zeros of the polynomial function. f(x) =…

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Q: f(x)=6x^3-2x^2-5x+2; f(-3) use synthetic division and the remainder theorem to find the indicated…

A: Given function is  f(x)=6x3-2x2-5x+2 Using synthetic division , divide the given polynomial f(x) by…

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x) and…

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Q: A polynomial f(x) and a factor of f (x) are given. Factor the polynomial completely using synthetic…

A: The given polynomial f(x) and a factor of f(x),14. f(x)=3x3+8x2+3x-2; (x+2)15. f(x)=x3-4x2-11x+30;…

Q: Find a degree 3 polynomial having zeros -2, 1 and 8 and the coefficient of x° equal 1. The…

A: If x=k is a zero of a polynomial, then (x-k) is a factor of the polynomial. Given that the zeros are…

Q: ) x^3+x^2-28x-10=0; x-5

A: According to our company policy we can answer only first question and rest can be reposted

Q: Find a degree 3 polynomial having zeros -5, 2 and 6 and the coefficient of x° equal 1. The…

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Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

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Q: The polynomial  P(x) = 5x2(x − 2)3(x + 9)  has degree  . It has zeros 0, 2, and  . The zero 0 has…

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Q: Find the requested polynomial. 15) Find a polynomial of degree 4 having the following zeros: 4…

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Q: if 7+5i is a zero of a polynomial function of degree 5 with real coefficients, then so is

A: Given:   7+5i is a zero of a polynomial function of degree 5 withreal coefficientsWe know that  A…

Q: 16 x2 + 3x + 1; (i) Divide by [hint : use long division polynomial notion] If f(x) = x – 3x² + x +…

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