For the polynomial below, 3 is a zero. h(x) =x' - 7x + 25x – 39 Express h (x) as a product of linear factors.

Q: What type of polynomial satisfies f"(x)=0 for all x?

A: Topic-polynomial

Q: if xo = 2, x1 = 3 and x2 = 4 the second degree polynomial for f(x) = using Lagrange Interpolation is

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Q: Discuss separability of the polynomial <³ +2ײ+3 3 over Jh5

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Q: Find a cubic polynomial f(x)=ax^3+bx^2+cx+d that has horizontal tangents at the points (-3,2) and…

A: Consider the given cubic polynomial fx=ax3+bx2+cx+d, it has horizontal tangents at the points (-3,2)…

Q: How would I find the quadratic Taylor polynomial for the function (y−5)(x+2)2

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Q: Find a fourth degree polynomial that has zeros of 1,-3,2i

A: The zeros of the polynomial are 1, -3, 2i. Since 2i is the zero of the polynomial, therefore its…

Q: Find a fourth degree polynomial with real coefficients that has zeros of -3, 2, i that passes…

A: Let us consider a fourth-degree polynomial:

Q: Write a 4th degree Maclaurin polynomial for f(x) = e2x centered at x = 0. %3D

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Q: Express the polynomial x3 + 2x+3 EZ-[x]as a product of irreducible polynomials of 75[x].

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Q: 4) For the function 16 u y=-0.0519x+1.0777x-7.4569x+ 20.247x - 12.333 R=0.6113 12 10 4. time 10…

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Q: Find the second-degree Taylor polynomial for f(x) = 3x? – 4x + 2 about a = 0. %3D P2(x) = %3D What…

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Q: 4) For the function 16 4 y=-0.0519x+1.0777x-7.4569x +20.247x- 12.333 P=0.6113 12 10 4. 2. 4. time 10…

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Q: Suppose T4(x) = 2 – 4(x – 2) + 5(x – 2)² - 8(x – 2)3 + 5(x – 2)4 is the degree 4 Taylor polynomial…

A: We use Taylor's formula

Q: Suppose that a polynomial function of degree 4 with rational coefficients has 6, 4, 2i as zeros.…

A: We know that "If the polynomial has only real coefficients, then any complex roots must occur in…

Q: Show that the nth Maclaurin polynomial for f(x) = e* is Tn (x) = 1+ 2! n!

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Q: If a third degree polynomial has a lone x-intercept at x=a what does this imply about the linear and…

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Q: Which polynomial function would have the end behaviour of as x →to, y →o?

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Q: Let f(x) = x' + 2x + 4 and g(x) - 3x + 2 in Z,[x]. Then, upon dividing f(x) by glx), we get 7- The…

A: I am solving part7 &amp; part8 as you mentioned.

Q: Find Ao, A1, and A2 in rewriting the function of f(x)={* x20 in terms of Lagure polynomial, 00 S(x)…

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Q: Find the cubic polynomial which takes the following values : x: 1 3. f (x): 1 1 10 Hence or…

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Q: 8 (x)= 1 centered at a =0 1+x

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Q: The 2nd degree polynomial that interpolates to f(x): = 2cosx - sinx at x = 0, x = π/2 and x = π is…

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Q: Does there exist a polynomial of degree 3 with real coeffi- cients that has zeros 1, -1, and i?…

A: Zeros of the polynomial are 1, -1  and  i. Since the complex roots occur in conjugate pairs,…

Q: Suppose if we use a linear Lagrange polynomial, differentiate and evaluate at x = x0 what formula…

A: Consider the general equation for the linear Lagrange polynomial function and two points.…

Q: 16. Write a polynomial function with end behavior of: on the left f (x) goes to + 0o and on the…

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

Q: . Find the asymptotic behavior of the polynomial f(x) = -x² + 4x® + 2x5 12x – 10 (i.e. determine the…

A: Find the degree and the leading coefficient for the given polynomial.

Q: Q3: Factorize f (x) = 2x* + x³ + 2x + 4 € Z5[x] as a polynomials product to irreducible over Z5?

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Q: Express the polynomial x3 + 2x + 3 EZŞ[x]as a product of irreducible polynomials of Z5[x].

A: Explanation of the answer is as follows

Q: Find the second-degree Taylor polynomial for f(x) = 4x² – 8x + 8 about æ = 0. %3D P2(x) = What do…

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Q: Find the nth Maclaurin polynomial for the function. Ax) = *=2, 3x - 2 n = 4 %3D x+ 1 Pa(x) = %3D

A: The Maclaurin series of a function f(x) is a special case of the Taylor series and is represented…

Q: Calculate the real values of x and y such that (x + y)° is bigger than 8. hinh ai is a solution of…

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

Q: find the nth Maclaurian polynomial for the function f(x)=(5x-3)/(x+1), n=4

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Q: For the polynomial below, 2 is a zero. 3 h (x)=x'+4x+ 6x– 36 Express h (x) as a product of linear…

A: Given: The given polynomial is = hx=x3+4x2+6x-36 A zero is x=2. To find: Express hx as a product of…

Q: Express p (x) = x3 as a Taylor polynomial about a = 1/2

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Q: What is the sixth-order Taylor polynomial for f(x) =/1+2x² about xo = 0? (A) 1 + x² – 8 16 x6 (B) 1…

A: Taylor series of a function f(x) about x=a is defined as:…

Q: Suppose p(x) is a cubic polynomial that shares two of its roots with f (x)=2x² – 5x+3, has the same…

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Q: Express p(x)= x3 as a Taylor polynomial about a = -1.

A: The Taylor polynomial of degree n about  is given by:f(x) = f(a) + f'(a)(x-a) + f''(a)2!(x-a)2…

Q: Find a fourth degree polynomial that has zeros of 1, -3, 2i.

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Q: show that the polynomial below has a root between 0 and 1.

A: Given f(x)=2x3-11x2+18x-6 to find the root of the polynomial which lies between 0 and 1

Q: For the polynomial below, 3 is a zero. h(x)=Dx' +2x 9x 18 Express h (x) as a product of linear…

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Q: Must the values be ordered from smallest to largest for the method to findNewton polynomials to…

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Q: The polynomial f(x)=(x−2)^3=(x−2)(x−2)(x−2) has x=2 as a zero four times. true or false?

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Q: Plot the zeros of each polynomial on a line together with the zeros of its first derivative. i) y =…

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Q: Find the formula for a third degree polynomial with a zero at x = -5, a double zero at x = 3, and y…

A: Given that the polynomial has a zero at x=-5 So (x+5) is a factor of polynomial. Given that the…

Q: For the polynomial below, –1 is a zero. f(x) =x - 3x - 3x + 1 Express f (x) as a product of linear…

A: Given: A polynomial fx=x3-3x2-3x+1 of which -1 is a zero. Now as its given that -1 is a zero,…

Q: Find Ao, A1, and 4, in rewriting the function of ()- r>0 in terms of Lagure polynomial, /)=4L(*).

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Q: Find the linear approximating polynomial for the function f(x) = V2x + 49 , a = 0 1 O A. LX) = x+7…

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Q: Q1. How many bends are there in the roller coaster? Q2. In the given domain, how many times does…

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Q: Find a polynomial f(x) of degree 4 that has the following zeros: 4,-9,-5,0. Leave your answer in…

A: Find a polynomial f(x) of degree 4 that has the following zeros: 4,-9,-5,0. Leave your answer in…

Q: Express f(v) 4 + 6 x² + Z x + 2 in terms of Legendre Polynomials.

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.