Use an appropriate Chebyshev polynomial to economise f(x) = x³ + 2x² – 5 once

Q: Find the nth Maclaurin polynomial for the function. f(x) = 4x-5      ,    n=4           x+1

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Q: Find the roots of the quadratic polynomials: f (x) = x2 − 2x − 1

A: We know that, for an standard equation fx=ax2+bx+c, roots are calculated by using quadratic formula…

Q: Find a real root using bracketing method of the polynomial function f (x) = 3x³ + 8x? – 9x – 13.…

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Q: Find a polynomial f (x) of degree 3 that has the indicated zeros and satisfies the given condition.

A: Since the zeros of the polynomial are -1, 2, 3, therefore the factors of fx are, x+1,  x-2  &…

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

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Q: Find the y-coordinate of the y-intercept of the polynomial function defined below. f (x) = 3+ 5x? +…

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Q: Find the x-intercepts of the polynomial function. f(x) = x3 – 9x2 – x + 9 (x, f(x)) = (smallest…

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Q: Consider the polynomial function 1 f(x) = 6x° + 10æª 12 24x %3D -- - - 19

A: The given polynomial,f(x)=6x9+10x4-x312-24x-119

Q: Which polynomial function would have the end behavior of as x→ too, y 0? f(x) = 7x5 – 8x1 – 2x3 + x²…

A: The given polynomial functions are…

Q: 28. Write a third-degree polynomial f(x) with zeros -1, 3V2, and –3 V2.

A: Given: The root of the third-degree polynomial fx are -1, 32 and -32. To find: Equation of the…

Q: Determine the real root of f(x)= -25+82x-90x2+44x3-8x4+0.7x5. Iterate until the estimated error…

A: given: fx = -25+82x-90x2+44x3-8x4+0.7x5To find root we put fx =0. ⇒-25+82x-90x2+44x3-8x4+0.7x5 = 0…

Q: Determine a value for p so that f(x)=px2−18x−7 has a maximum at x=−2

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Q: Find the remainder when f(x) = x7 + 3x5 + x - 1 is divided by x2 +1 in Z5[x].

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Q: Which polynomial function would have the end behaviour of as x→ too, Y→ co? a) f(x) = 7x³ - 8x* -…

A: Topic = Functions

Q: Find a polynomial f(x) of degree 4 that has the following zeros. 1,-7,0,2 Leave your answer in…

A: The objective is to find the polynomial of degree 4. If a is the zero of any polynomial f(x), then…

Q: Sketch the following polynomial function. Show your complete solution by checking the symmetry,…

A: fx=2x+1x-22x-63                                            1f-x=-2x+1-x-22-x-63≠fx Also, f-x≠-fx So,…

Q: Is y = |x| a polynomial function? What about y = |x2 + 1|?

A: Given, y=x Since the Modulus function is not a polynomial function, therefore y=x is not a…

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

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

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Q: What is the leading coefficient of athird degree polynomial function that has an output of 1,272…

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Q: Use the Intermediate Value Theorem to approximate the real zero of f(x) = x3 − 3x2 − 2.

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Q: Show that the polynomial function f(x) = x3 - 2x - 5 has a real zero between2 and 3.

A: We have to show that polynomial fx=x3-2x-5 has a real zero between 2 and 3.

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

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

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Q: find the 3rd degree maclaurin polynomial of f(x)= (x-2)/(x+3)

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Q: Find the zero/s of the given polynomial function f(x) = x* + x³ – 29x2 – 9x + 180

A: The factors of a quadratic form of equation ax2+bx+c can be calculated using integer factorization .…

Q: 2. D- f(x) = -is not a polynomial function because %3D 2x

A: A polynomial function is a function such as a quadratic, a cubic, a quartic, and so on, involving…

Q: Find Ao, A1, A2, and A3 in rewriting the function of f(x)=- x20 in terms of Lagure polynomial, x<0…

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Q: Which polynomial function in standard form has a root of multiplicity 1 at x= 3, and a root of…

A: A polynomial function has a root of multiplicity 1 at x=3, and a root of multiplicity 2 at x=4

Q: Given the function f(x) = ;x – x², then what is f(x - 2) as a simplified | | polynomial?

A: Given polynomial f(x)=52x-x2.

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: Find the Third degree Taylar polynomial To (x) centered at a-1 for the function fCx) = ã…

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Q: Find the nth Maclaurin polynomial for the function. 3x - 1 F(x) = n = 4 x + 1

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Q: Express as a polynomial.

A: .

Q: What is the polynomial function for f(x)= (x^2-3)(2x^2-9)?

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Q: could you help please help with these questions. Thank you

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Q: Use the Intermediate Value Theorem to show that the polynomial function has a zero in the given…

A: Intermediate value theorem: - The intermediate value theorem asserts that if "f" is a continuous…

Q: Find a polynomial f (x) of degree 3 that has the following zeros. 0, -2, 1 Leave your answer in…

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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: Use the graph of the polynomial function f(x) (a) to solve f(x)= 0, and (b) find the factorization…

A: Given, Polynomial function, f(x)=-0.5x3+2x2+2x-8 To find: a) Roots of f(x)               b)…

Q: The polynomial f(x)=x3+x2+1 has a linear factor in Z3[x]. true or false?

A: Solve the following

Q: The graph of the polynomial function f(x) = −2x(x − 1)²(x − 2)² extends from

A: Given polynomial f(x)=-2x(x-1)2(x-2)2

Q: Determine the real root of f(x)=5x3-5x2+6x-2. Iterate until the estimated error falls equal to or…

A: MOSS:- Method of successive substitution Given that fx=5x3-5x2+6x-2 For Real root put fx=0…

Q: Determine the first root of: f (x) = –13 – 20x + 19x2 – 3x³ using graphical method

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Q: a) f(x)=-x- 13x²+3x – 9 Туре of polynomial Degree Sign of leading End behaviours Domain сoefficient

A: given that f(x)=-14x3-13x2+3x-9

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: 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: Show that the polynomial function f(x) = 3x3 - 10x + 9 has a real zero between -3 and -2.

A: Given that, fx=3x3-10x+9