Find the Taylor polynomial of order 3 generated by fat a. f(x) = x2 +x+1, a=2 O A. P3(x) =7+5(x- 2) + 5(x – 2)2 + 7(x- 2)3 B. P3(x) = 7+5(x -2) + (x- 2)2 Oc. P3(x) =1+3(x– 2) + 3(x – 2)2 + (x – 2)3 OD. P3(x) = 3+5(x- 2) + 7(x - 2)2

Q: Write the polynomial p(x) = x³ - 3x²+x-9 as a Taylor polynomial centered at 20 = 1.

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Q: 9. Let P(x) = 3x² – 5x³ + 7x* + 3x5 be the fifth-degree Maclaurin polynomial for the function f…

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Q: 13. Find the equation of the third degree polynomial containing the points (1, -7), (0, 4),(3, -2)…

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Q: 1. Express the polynomial f(x) = 4x3 – 5x2 + 2x – 3 as a power of x + 2.

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Q: e down a polynomial of degree exactly 4 that interpolates the four points: (-1,-5 1), (2, 1), (3,…

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Q: 2. Find the polynomial the passes through the following points (0,0), (2, —2), (4,0)

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Q: Find a polynomial y = p(x) of degree 4 that goes through the points (0, 4), (1, 2), (2, -4), (3,…

A: solution of the given question is like this:

Q: For the polynomial below, 1 is a zero. h (x) =x' + 3x- 7x + 3 = X

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Q: Consider the polynomial P (x)=kx' - 5x +3x + 2. Find the value of k such that the remainder is 4…

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A: To state whether or not the divisior is a factor of the given polynomial.

Q: The fourth degree Taylor polynomial for f(z) = 1 centered at a = -3 is T(z) = co +q(x+3) + c(r + 3)2…

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Q: Sketch a higher degree polynomial with the following roots: -2, 3, -3, 6. f(x) 9,

A: It is given that the roots are -2, 3, -3 and 6. That is, x+2=0, x-3=0, x+3=0 and x-6=0. The…

Q: 4. Write the polynomial in standard form. * 4g – g° + 3g² – 2 -2 +4g + 3g – g g - 3g +4g - 2 O A -g…

A: Standard Form of Polynomial states that the polynomials needs to be written with the exponents in…

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A: x-1012f(x) 0212We have to find a polynomial using the newton form.

Q: 2. Let p(x) represent a 7th degree polynomial whose roots are √/2 and 1 (triple root) and it passes…

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Q: For the polynomial below, 1 is a zero. h(x) =x- 7x + 10x- 4 x=(x)4 Express h (x) as a product of…

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Q: Q// Fit a second-order polynomial to the following data: Y 9 8 3 7 9 11 9 6 1 7 1 3 10 9. 1 a. y =…

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Q: Find a value for c so that the polynomial y^2+10y+c factors to (y+5)2.

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Q: 2. Find a polynomial that interpolates (-1,4) and (3,6), then find the value of f(x) at x=0 and x=…

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Q: Determine whether or not the given polynomial is irreducible over Q (a) x4 - 10x² + 1 (b) (5/2)x+…

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Q: Find the fifth Taylor polynomial of x3 - 7x2 + 8 at x = 0.

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Q: Select the correct polynomial who is a fifth degree and has zeros at -3, 0, 1, 2. O y = x²(x+3)(x -…

A: A detailed solution is given below.

Q: Determine the number a in Z5 so that (x - a) becomes a divisor of f (x) = x ^ 3 + 2x ^ 2 + 3x + 3 in…

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