1. [K5] Use long division to divide 4x* – 2x² - 1 by x – 1. Then write the associated division statement in quotient form.

Q: 1 avig srls ni, lim x→-125 x3-5X3+25 ant X3+3 1

A: The limit of a function (expression ) is a value of that function (expression ) approaches as the…

Q: 2. Use syntr dhe hirst polynomial by the second. а. х2+x -3; х-1 b. 4x- 3x2+ 3x - 2; x-1 c. x'+x°…

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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: Evaluate at the given value using synthetic division. f (x) = x + 8x2 + 15x +3 at x = -3 f(-3)

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Q: 1. Which of the following correctly sets up the synthetic division for x - 4x? - 3 divided by x+ 1?…

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Q: 3. Use thereom division Value. Verify different rema and to find 6 C methos F(x) = 2x³-9x +(-2)=…

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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: 8. Below is the graph of Se)%3Dx+x-5x+3: a) Find the zeros. b) For each zero use synthetic division…

A: Topic:- calculus

Q: How can we improve the result of an interploation ? a. By using small sub-intervals and first degree…

A: We have to check the correct option: How can we improve the result of an interpolation: (a) By using…

Q: show f(x)=x^3-x^2-8x+12 has no zero greater than 4 and no zero less than -4 using synthetic division

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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: Use long division and express P in the form  P(x) = D(x) · Q(x) + R(x).   P(x) = 20x4 + 16x3 + 9x2,…

A: Explanation: Given that,  P(x) = 20x4 + 16x3 + 9x2,    D(x) = 4x2 + 1 We will follow some steps to…

Q: 5. For how many different integers bis the polynomial x² + bx + 16 factorable over the integers?

A: From the given data

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

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Q: Use synthetic division to perform the d x4 +81 x-3 81 O A. x3 + 3x2 + 9x + 27 + x- 3 162 O B. x3 -…

A: We have, x4+81x-3

Q: How do I use synthetic division to show that −4 is a zero of the given function?

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Q: 4.3.7 Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by…

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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: Find the coefficient of x5 in (1 – 2x)-7 using generating function.

A: Given to find the coefficient of x5 in 1-2x-7 The generating function will be Gx=1-2x-7…

Q: 18. Express the polynomial 6x -x +2x-4 in standard form. 6x'-2x-4 7 +2x-4 -4+2x-5x 5x +2x-4

A: standard form is the form in which polynomial is written decreasing power of x and all different…

Q: 14. Evaluate this cubic polynomial for x = 1.32, using both rounding and chopping to three digits at…

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Q: 1. Use synthetic division to show that c = 2 is a zero of P (x) = x' – 9x + 10 and then find all the…

A: If c= 2 is a zero of the given polynomial P(x), then after synthetic division we will get reminder…

Q: 2. Evaluate the polynomial: y = x° – 7x + 8x – 0.35 at x = 1.37. Use 3-digit arithmetic with…

A: Explanation Given polynomial is  y = x3-7x2+8x-0.35 we have to evaluate the given polynomial at…

Q: 4.9 (a) Evaluate the polynomial y = x – 7x + 8x – 0.35 | at x = 1.37. Use 3-digit arithmetic with…

A: Answer for sub question a: First determine the powers of x needed for evaluating the polynomial.…

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: 1. It is known that the polynomial p(x) = 2 – (x + 1) + x(x + 1) – 2æ(x + 1)(x – 1) interpolates the…

A: Solution by using Newton's forward difference interpolation method .

Q: 1.  if the result of a polynomial division is 2x3 - 4x2 - 5x +23/x+2,   make at least three…

A: Given that the result of a polynomial division is 2x3-4x2-5x+23x+2. It is required to make at least…

Q: Show that factorial polynomial represent the function: -1+2r – 3r2 + 42 is -1+ (2 – 3h + 4h²)æ(-1) +…

A: Given function, -1+2x-3x2+4x3 To show that the factorial polynomial representation of above function…

Q: The remainder upon the division of x98 +4 by x - 2 in z, is:

A: We have to use remainder theorem.

Q: 1 Use synthetic division to decide whether is a zero of f(x) = 25x* + 24x2 + 15x +2. - - 1 Is a zero…

A: The given function can be written as f(x)=25x4+0.x3+24x2+15x+2

Q: Use synthetic division to evaluate f () = + 6x - 2x 12 when z = 3. f (3) = D

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Q: The remainder upon the division of x75+ 6 by x- 3 in z, is: 1 5 6.

A: I am solving it in step 2

Q: 5. Carry out the following divisions using synthetic divisions and write the answer by stating the…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 13. Divide using synthetic division. -3| 1 8 9 -18 * + 5x – 6x 22 + 5x – 6 O -a – 5x +6 O * + 5…

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Q: = -5. Let p2(x) be the interpolating polynomial of f(x) at xo = Then, the error term in…

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Q: 19. The polynomial f(x) = (x – 2)3 = (x – 2)(x – 2)(x – 2) has æ = 2 as a zero four times. True…

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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: 5. Consider the following division: (2,3 – 4x² + x – 2) ÷ (x – 2) 5a Fill in the gaps to complete…

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Q: The remainder upon the division of x75 + 6 by x-3 in z, is: 1.

A: concept : when f(x) is divided by x-a then  Remainder is f(a).

Q: Find the conditions that the zeroes of the polynomials Ax) =x – px+ qx – r may be in arthametic…

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Q: Evaluate at the given value using synthetic division. f (x) = x+ 8x2 + 15x +3 at x = -3 f(-3)

A: f(x) = x3 +8x2 +15x +3

Q: 8. Which of the following correctly sets up the synthetic division for x* + 2x - 8x + 11 divided by…

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Q: 4) Polynomial of lowest de 1) and with f (0) = -18

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Q: Find the quotient using synthetic division. BE AE 35. (2x +3x+4x² +24x-45)+ (x+3) 36. (x* -5x'…

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Q: use synthetic division  2x^4-x^3-7x^2+7x-10/x-2  (this is a fraction)

A: For synthetic division we have to follow following steps: 1)make a setup for synthetic division 2)…

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: 1.  Use synthetic division to perform the division 4x3−15x2+10x−10 / x−1.

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Q: 2a] aS a product Of irreducible polynomials.

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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