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

Q: Consider the polynomial equation of P(r) = 0 where P(x) = #* – a* – ² – a – - 2. - T (a) What are…

A: The given polynomial is Px=x4-x3-x2-x-2.

Q: (10) 3 f(-1) = 1, f(1) = f(0) = 4, and f(r2) = f(1) = 1, to construct interpolating polynomials of…

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Q: 9. For the polynomial f(x) = x(3x + 1)(x – 2)², determine the leading coefficient, leading term,…

A: Given: fx=x3x+1x-22 Now solve the parenthesis we get, ⇒fx=3x4-11x3+8x2+4x                    ...(1)…

Q: find the real polynomial f(x) which has zeros x=1 (multiplicity 2) and x=2+i (multiplicity 1). you…

A: We have given the zeros x = 1 with multiplicity 2 and x = 2+i with multiplicity 1.

Q: Find a polynomial​ function, ​f(x), with least degree with integer coefficients that have 5 −2​, and…

A: A general equation of polynomial having zeros a, b, and c is given by

Q: Approximate the roots of the polynomial f(x) = X3 - 7X + 6 using Bolzano method.

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Q: 1. Sketch the polynomial /(x) = (2-x)²(x+1)(x-4)³

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Graph the polynomial function f(x)--(x + 1)(x - 1) (x - 3)²

A: Given: polynomial function f(x)=-(x+1)(x-1)2(x-3)2. To be find: graph the polynomial function.…

Q: Given a function f (x) that passes through the points (1, 2), (2,−1), and (3, 4), use the Lagrange…

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Q: If f(x) is a polynomial function satisfying f(x) ·ƒ ( ² ) = f(x) + f ( ² ) a and f(4) = 65, then…

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Q: Show that f (x) = x2 + 3x−1 and g(x) = 3x3 − 9x + x−2 are rational functions—that is, quotients of…

A: To show: That the functions are rational function: Given: The functions are fx=x2+3x-1 and…

Q: If f(x) is a polynomial of the first degree and a is not equal to B, show that f(x)= f(B)(x-a) -…

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Q: Determine the polynomials q(x) and r(x) such that f(x) = g(x)q(x) + r(x), where f (x) = xª + x³ –…

A: Given the polynomial f(x) and g(x) and we have to find the polynomial q(x) and r(x): fx=gxqx+rxWhere…

Q: Let P(x) be a polynomial of degree 5 with roots 2, – 5 and (3 + i). Write P(x) as a product of…

A: It is given that the roots of 5 degree polynomial are 2,-5,3+i

Q: Find the roots of the polynomial: f (x) = 2(x – 5)³ + 16.

A: Given f(x)=2x-53+16

Q: Identify the following for the polynomial function: i) iv) g(x)=x (3x+4) (-2x+1)(x-5) the degree the…

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Q: The function f(x) = x³ + 5x²-√x + 1 is a polynomial of degree 3.

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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: f(x) = -(x + 2)(4x + 1)(x – 3)

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Q: Let f(x) = x3+5x+3. Construct the divided-difference table based on the nodes x0= 1, x1 = 2, x2 = 3,…

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