the third Taylor polynomial for f(x) = expanded abc= 3(x)=7-7(x-1)-14(x-1)²-7(x-1)³ 3(x)-7-7(x-1)+7(x-1)²-7(x-1)³ 3(x)-7-7(x-1) + 14(x-1)²-14(x-1)³ 3(x) = 7-7(x+1)+7(x + 1)²-7(x+1)³

Q: 3. (a) Square is already completed; irreducible (b) Square is already completed; factors as (x –…

A: In algebra, a quadratic equation is a polynomial whose degree is equal to 2. Every quadratic…

Q: Find the remainder when x51 is divided by x + 4 in Z7[x].

A: We have to find the remainder when x51 is divided by x+4 in Z7x. Let t be the remainder when x51 is…

Q: Using Legendre polynomials, we can express f(I) = z' as %3D

A: The Legendre polynomials are as follows.…

Q: Derive these Legendre polynomials: P3(x) = x³ - (3/5)x P4(x) = x² - (6/7)x² + (3/35) P5(x) = x5 -…

A: Given:The Legendre polynomials:Aim:To derive the Legendre polynomial.Concept Used:Power rule of…

Q: Describe the characteristics of the following polynomial (This means label the intervals) 5) f(x) =…

A: I am attaching image so that you understand each and every step.

Q: x² – 3x + 7 15. X – 2

A: Long Division Method  first term of the numerator is divided by the first term of the denominator,…

Q: 7. (a) (3x + 2)(1– 4x) (b) (4 – 5x)(5 + 6x) 8. (a) (2r + 7) (2r + 7) - (2r + 7) (2x + 7) (b) (3 –…

A: solving equation by multiplication:-

Q: [(3x2 – 2x + 3) dx - (A) x - x² + C (B) 3x - x2 + 3x + C (C) x - x + 3x + C (D) (3 - 2x + 3)? + C…

A:

Q: (a) Evaluate 12x + 3x3 – 5x² + 7x – 8 at x = -1 (c) One can represent polynomials using nested…

A: a Given polynomial is p(x)=12x4+3x3−5x2+7x−8. We have to evaluate the given expression at x=-1. Let…

Q: 200. (5ab- 1)(2ab + 3)

A: Topic = Algebra

Q: Name: Ash ynn Tippit 5.10 Assignment - Dividing Polynomial Functions 1. Use long division to divide…

A:

Q: Which of the following polynomials is an element in the span of the polynomials 1 + x + x³ and x+x²?…

A: Definition:

Q: The zeros of the polynomial P(x) = x³ – 2x2 + 4x - 8 are %3D La)-1,2i, and - 2i (b) 1,2i, and – 2i…

A:

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: How do i find the ral seros of  a given polynomial and their corresponding multiplicities?…

A: We have to find the zeroes and their multiplicities.

Q: Let P(x)=x³-2x²-11x+12 Show that x-c is a factor of P(x) if c=-3 of P(x) if c=-3- Use this fact to…

A:

Q: Determine Q(x) when P(x)=x³-5x2-3x+2 is divided by x-1 and then expressed in the form Select one: O…

A:

Q: 4p* – 17p² + 14p – 3 23. 2р - 3

A:

Q: 2. Divide the following polynomials using long division, and indicate the quotient Q(z) and the…

A: We have to find

Q: Open with 1.9.1 Dividing Polynomials conmuer (Conthua Using the previous example, complete the…

A:

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

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

Q: if P4(z) = r- 4r-3z2 + 4 and ro = -1. what is the polynomial Q(z) knowing that: P(z) = (z - zo)Q(z)…

A:

Q: Transcribe the following text IN DIGITAL FORMAT

A: Given handwritten text. To do: Transcribe the given text in digital format.

Q: For the polynomials p(x)=4x* – 3x² +x -1 and d(x) =x² – 1, write in the form p(x)= d(x)q(x)+r(x).

A:

Q: 5. (x5 + 25x3 -7x2 +37x 18) + (*+5) %3D II. A. Use the REMAINDER THEOREM to find the remainder of…

A: We have to solve