find the polynomial f(x) for which x.f(x-1)=(x-3).f(x) prove that f(x)=x^2n + a^2n is not divisible by g(x)=x+a Prove that the polynomial f(x)=x^2n+a^2n ,n belongs to N, is not divisible by g(x)=x+a

Q: The limit when x approaches to 5 of a polynomial f(x) is f(-5)

A: Given The limit when x approaches to 5 of a polynomial f(x) is f(-5)

Q: Consider the function h(x) = e³ (x-7) with x E [-7,7]. %3D Consider n + 1 points xo < x1 < ... < x,…

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Q: Consider the interpolating polynomial for f(x) = 15 with interpolation nodes x = 0, 2, 4, 6, 8, 10.…

A: The Interpolation Error: Suppose x0,x1,......xn are (n+1) distinct points in the interval [a,b] and…

Q: True or False If f is a polynomial function of degree 4 and if f(2) = 5, then f(x) = p(x) 5 x - 2…

A: When a degree n polynomial f(x) is divided by a degree 1…

Q: Using Rouché’s Theorem, show that the polynomial h(z) = 10z^4 + 12z^3 + 1 has three zeros with |z| <…

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Q: The cubic polynomial f(x) is defined by f(x)=6x^3-5x Find the reminder when is divided by(x+4) Show…

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Q: let F(x)=f(f(x)) and G(x)=(F(x))^2  You also know that f(5)=10 , f(10)=3,  f prime of 10 = 4, f…

A: The objective of the question is to find the derivative of the functions F(x) and G(x) at x = 5. We…

Q: Show that the real zeros of f(x) = x^4 + 5x^2 + 3x -7 satisfy (a) No real zero is greater than 1.…

A: We have to find the given statement is correct or not.

Q: 1 ) Find all the zeros f(x)=x^4 -3x^3 + 6x^2 + 2x -60 given that 1+3i is a ze

A: We have to find roots of that polynomial

Q: Given the function h (x) = 9x¹ - x² A) Factor: h(x)= [Select] B) Determine the real zeros: [Select]…

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Q: Find a polynomial function of degree 3 with -5, 0, and 1/2 as zeros f(x) = x³ + ²/1x² - 1/2x X f(x)…

A: We have to find a polynomial function with degree 3 with -5,0,1/2 as zeroes.

Q: Write the Hermite interpolating polynomial satisfies |H(x₁) = Coo₂ | H (x₁) = C₁0 ₂ How to compute…

A: As per the question we have to find the Hermit interpolation polynomial H(x) for the given…

Q: Use calculus to show that if f(x) = (x − a)²g(x), where both f(x) and g(x) are polynomials, then…

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Q: A polynomial P(x) and a a divisor d(x) are given. Use long division to find the quotient Q(x) and…

A: We have to perform long division for the given two polynomial.

Q: 74. (-300, 0) 400 f(x) 210 1-10² (100, 0) 100 200 −1-10³) (0, –90,000) -2-10 -200 -100 3-10³.

A: For any polynomial equation from graphics can be given by as:  F(x)  = a(x-b)  (x-c)  (x-d)  Where…

Q: Let f(x) =x^2+6x+9 g(x) =x+3 a(x)= x^2 +1   1) Find f(x) + g(x)  2) Find f(x)/g(x) 3) Find the…

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Q: The profit function of Acrosonic company is given by P(x)=-0.02x^2+300x-200,000 dollars, where x is…

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Q: How to find the cubic polynomial function that has zeros of x=2, x=3(+or -) i

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Q: -3 -2 -1 IV 8 6 4 NA 2 o -2 4 -6 2 The graph shows a polynomial function f(x) of degree 3. Which…

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Q: (b) (2 points) use the Concavity Theorem to determine where f(x) is concave up and where it is…

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Q: Zero of -3 having multiplicity 3 and f(3) = 36 x = -3√ x = 3₁ x= 3√√x=3 +3)(xx-3)(x-3)(x-3)(x-3)…

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Q: The zeros of the polynomial P(x) = x* - 5x2 + 4 are (a) 2i, -2i, i and - i (b) 2,-2, i and – i (c)…

A: We have to choose the correct answer

Q: The standard form of the polynomial P(x) = 4x² + 2 is a) P(x) = 4x² + 0x + 2 b) P(x) = 4x2 – 2x + 2…

A: The explanation of the solution as follows:

Q: Given f(x) = 2(x - 1)(x + 3)³(5x + 1)^(x − 3)¹ List the zeroes (ex. 4, 6, -2): Degree: End behavior:…

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Q: f(x)= 2x^3-11x^2+10x+8=0 The potential zeros are +/- 1,2,4,8,1/2 a) Use synthetic divison long…

A: Using remainder factor theorem