5. (a) Use synthetic division to find the quotient and remainder when x – 4x + 2x + 5 is divided by x – 2. (b) Use long division to find the quotient and remainder when 2x° + 4x* – x³ – x² + 7 is divided by 2r² – 1.

Q: +2x-2 h(x) 5x +

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Q: If x4 −2x3 −12x2 +10x+ 3 = 0 has the roots 1 and −3,

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Q: (a) Use synthetic division to find the quotient and remainder when x4 - 4x2 + 2x + 5 is divided by x…

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Q: synthetic division to find the result when 3x^{4}-25x^{2}-8x+63x4−25x2−8x+6 is divided by x-3x−3. If…

A: Given query is to perform synthetic division.

Q: Divide x – x4 + 3x³ + 2x2 – x + 1 by x³ – x² + 1, finding the quotient q(x) and remainder r(x).…

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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: 1. When the polynomial f(x)= px' +5x +qx-2 where p and q are constants is divided by 2x +3x-2 the…

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Q: 1 )Consider the polynomial f ( x ) = ( x − 1 ) ( x + 2 ) ( x − 3 ) ( x + 5 ). What are the roots of…

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: When dividing x^3+2x+4 by 3x+2 in Z5[x], the remainder is None of the choices 2

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Q: 15. If the zeros of the polynomial x²+px +q are double in value to the zeros of 2x²- 5x -3, find p…

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Q: Explain the problems with the Lagrange form of the interpolating polynomial?

A: Lagrange polynomials are used for polynomial interpolation.

Q: Use synthetic division to find the quotient and remainder when  x4 − 9x2 + 3x + 4  is divided by…

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Q: 9. When the polynomial mx' – 3x² + nx +4 is divided by x - 3, the remainder is 16. When it is…

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Q: Q1: Find an approximation “ x2 “ to one of the zeroes of p(x) = x³ -x -1 using Newton-Raphson and…

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Q: Wednesday, February 10, 2021 1:40 PM Ose synthetic division to fnd Quotient þ remainder conen 1x…

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Q: division to divide P(x)=x^4-2x^2+2 by D(x)=x^2+x-1

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Q: Consider the division f(x) ÷ (x – k) where f(x) = (x + 5)²(x – 5)(x + 6)³. %3D (a) What is the…

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Q: 2+ 6z + 13z + 13 Find the quotient and remainder using synthetic division for: z+2 The quotient is…

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Q: Find (A) the leading term of the polynomial, (B) the limit as x approaches ∞o, and (C) the limit as…

A: Solution

Q: Using long division, you can calculate that…

A: Given,

Q: for (x)=15x^4+10x^3-6x^2+14 show that (3) is equal to the remainder when you divide(x) by (x-3)

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Q: 9. Find the quotient and the remainder of x³ + 2x² – 1 divided by 3x2 +1 in Z7[x].

A: Note that for Z_7  Any number is equal to the remainder when it is divided by 7.

Q: 11. If f(x) = -3x2 - 4x + 1, use synthetic division to evaluate f(4)

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: Match a rational expression in column A with one shown in Column B: Column A Label Column B Label…

A: A. 2x+1x+2-x+3x+3=2x+1x+2-1=2x+1-x-2x+2=x-1x+2

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: 4. When the polynomial P(x) is divided by (x-2)2 the remainder is 3x - 3. What is the remainder when…

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Q: Find the second-degree Taylor polynomial for f(x) = 4x? – 3x + 8 about a = 0. P2(x) = What do you…

A: Taylor polynomial 2nd degree polynomial is at e=0

Q: 12. The second-degree Maclaurin polynomial for f(x)=vx+9 is 3+ x² If this 6 108 polynomial is used…

A: The Maclaurin polynomial for f(x)=x+9is 3+x6-x2108 To approximate 8, substitute -1 for x in the…

Q: 3 When x³-x+4 is divided by a polynomial f(x), the quotient and the remainder are +2x+3 and 10…

A: Topic:- algebra

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: The polynomial p(x) has the rest (x+2) when dividing it by (x^2+2x-3) and the rest 1 when dividing…

A: We have given that  p(x) leaves the remainder (x+2) when divided by x2+2x-3 and  p(x) leaves the…

Q: 8a2+9+1 Simplify the following rational expression: 2+3z+2 2-2 (8z + 1)(z + 1)² (x – 2)2 (8x + 1)…

A: To simplify

Q: Use synthetic division to divide the first polynomial by the second. 2x^4-8^3+14x^2-14x+4…

A: Given, Divident- 2x^4-8^3+14x^2-14x+4 = 2x^4+14x^2-14x-508 Coefficients of (x⁴,x³,x²,x,x⁰) is given…

Q: 2 3. Rationalize the denominator of What do you observe about the result V5 – 1 obtained from…

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Q: Used synthetic dIVision to find the other factors o 1. (2x + x³ + 7x² – 40), (x – 2) 2. (-9x² + 2x³+…

A: Use synthetic division to solve

Q: While reducing the fraction 200..0z 300...0y (x, y + 0) in which between 2 and a and between 3 and y…

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Q: Is f(x) = x^2 + 1 a standard form or a vertex form or BOTH? OR is it a factored form? (I'm confused…

A: Solution for first part. Standard form of quadratic equation is f(x)=ax2+bx+c and vertex form is…

Q: 5. Divide the polynomial -x - 2x2 + 3 by (x – K + 11). Use synthetic division to write your answer…

A: Given that: Polynomial : P(x)=-x-2x2+10Divisor: x-k+11, k=1

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: Is f(x) = x^2 + 1 a standard form or a vertex form or both? (I'm confused because it has 2 terms,…

A: Yes, fx=x2+1 is a standard form and a vertex form both. The standard form is given by fx=ax2+bx+c…

Q: USE the synthetic method of division to divide the polynomial f(z) = 2 – 32 by d(r) %3D

A: Given : We have given the polynomial fx = x5 - 32  and dx = x - 2 To find : Divide the given…

Q: Use synthetic division to find the result when x + 2x2-11a + 24 is divided by x +5. If there is a…

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Q: 10. When ax -+ 2x +bis divided by x-1, the remainder is 10. When it is A divided by x-2, the…

A: Given : f(x) = ax³ - x² + 2x + b

Q: The value of f(3) for the polynomial f(x)=x3+x2-5x+3 is 24. What does this mean in terms of…

A: Given:  f(x) = x3+x2-5x+3 Now we have f(3) = 24

Q: (a) Divide r – xª + 3x3 + 2x2 and remainder r(x). Verify that the quotient times x – x? + 1 plus the…

A: Introduction: A polynomial is a very important real-valued function. The degree of a polynomial is…

Q: What is thr horizontal asymptote of q. q(x)=4x raised to the 3rd + 2…

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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: Flx)=14x=2x - 2x find obliq-es asympto tes use the long Formula

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.