4)Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) · Q(x) + R(x).             P(x) = 5x3 − 6x2 − 5x,    D(x) = 5x − 6 P(x) =   5) Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) · Q(x) + R(x). P(x) = 20x4 + 16x3 + 9x2,    D(x) = 4x2 + 1            P(x) = 6) Find the quotient using long division. 6x3 + 2x2 + 22x/ 2x2 + 1 quotient

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: Use synthetic division to perform the division.   x^3+5x^2+8x+6 over x+3

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

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Q: 4) Use the Remainder Theorem to find the remainder when f(x) is divided by x – c. Then use the…

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Q: 5. Factor f(x) = 9x² – 33x² + 19x – 3, given that 3 is a zero.

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

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Q: Two polynomials p and d are given. Use synthetic division to divide p(x) by D(x), and express p in…

A: Solution: The objective is to determine the required polynomials

Q: 7) Find the quotient and remainder using synthetic division. x3 − 3x + 10/ x + 4 quotient -…

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Q: Suppose that p(x) = x^3+ ax^2 + x + 1 has a zero at x = 1, where a is some constant. Determine a,…

A: given p(x)=x3+ax2+x+1 has zero at x=1 Therefore substitute x=1 and equate with 0…

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

A: Using long division method to divide these polynomial,

Q: 19) Determine a polynomial that represents the area of a square having sides of length s x + 8. B)…

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Q: 5. Suppose you use polynomial long division to divide p(x) by q(x), and after doing your…

A: We know that, the number which we divide is called the dividend. The number by which we divide is…

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: 5. Use synthetic division and the remainder theorem to find f(-2) when f(x) = 4x - 9x + 8x2 - 10.…

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Q: Express the second order polynomial p(x) = x^2 + 4x + 13 in the sum of square form. a. (x+2)^ 2 -…

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

A: (1) Compare and contrast the usefulness of Remainder theorem and long division theorem.

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

A: The given polynomials are,P(x)=x4+3x3-16x, D(x)=x-4

Q: 8. Verify that (x2 - 1) + is a valid result for the x4 +3x2+4 polynomial long-division calculation…

A: Given : The divide the  polynomial x 6 + 2x4 + 2x2 - 4 by the polynomial  x4 + 3x2 + 4 . Result : x2…

Q: 2) The polynomial function f(x) = x³ – 4x² + ax – 12 has (x – 4) as one of its factors. What would…

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Q: Prove that (x+2) is a factor of 3x'+8x+x-6 and find the other factor.

A: we have to find factor of the polinomial

Q: 1. Use the factor theorem and/or division to fully factor f(x) = 2x³ + x² -13x + 6 Show all work for…

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

A: The objective is to use either synthetic or long division to divide  P(x)  by  D(x),

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

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

A: Topic : polynomial division

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: A cubic polynomial ,k(x)=x^3+bx^2+cx−4,has a remainderof−2 when divided by x−1 and a remainder of…

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Q: 27. Factor f(x) = 15x – 67x + 26x + 8, given that is a zero of f(x).

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

Q: Is x+ 4 a factor of f(x) = x5 + 10x4 + 29x3 – 28x2 (Use Synthetic Division in conjunction with the…

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Q: express

A: We have to find the following conditions according to the given information

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: 13. If x = 7 is a root of x-3x2 -7x + 21 = 0, use synthetic division to factor the polynomial…

A: 13.

Q: long division to divide  P(x)

A: We have to divide the polynomial P(x) by D(x).

Q: If a polynomial p(x) is divided with a polynomial (x + 3) using long division and the quotient is…

A: Let the remainder is Zero Given pxx+3=2x2-x+1 px=x+32x2-x+1=2x3-x2+x+6x2-3x+3        =2x3+5x2-2x+3

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

A: The objective of the question is dividing the given polynomials.

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: 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: ) 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: 23 2. If the result of a polynomial division is 2x3 – 4x2 – 5x + x + 2 make at least three…

A: The result of the polynomial division is, 2x3-4x2-5x+23x+2 Let, f(x)=2x3-4x2-5x+23x+2…

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

A: Topic:- polynomial

Q: In an experiment, a scientist obtained the following data.    x  0  1        -1              y -5…

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Q: 3 Use synthetic division to divide f(x) =x° + 18x + 101x+ 180 by x+4. Use the result to find all…

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Q: 17) Perform the following division of polynomials by synthetic division. (x* – x³ – 9x² + 29x – 30)…

A: Given (x4-x3-9x2+29x-30) ÷ x2-3x+4

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

A: by euclids p(x)=d(x)q(x)+r(x)