For n = 4 , Legendre polynomial is 94 (x) = (35x – 30a? + 3)/8 %3D Find all its four roots.

Q: Solve the following cubic polynomial P(x)=x³-11x²+39x+45

A: Given: To solve the following cubic polynomial P(x)=x3-11x2+39x+45

Q: If x4 −2x3 −12x2 +10x+ 3 = 0 has the roots 1 and −3,

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Q: Solve the following polynomial equation completely. Start by using the Factor Theorem. x³ + 9x² +…

A: Topic = Polynomial

Q: For the polynomial s²+25+p=0, if the value of p is less than 1, then the roots will be

A: s2+2s+p=0, p<1

Q: In  the given equation as   follows , find the nth Maclaurin polynomial for the function :- f (x) =…

A: The Maclaurin polynomial for the function f(x) is given as: fx=f0+f'01!x+f''02!x2+f'''03!x3+ ⋯…

Q: Find the nth Maclaurin polynomial for the function. 4x - 1 f(x) = n = 4 P4(x) =

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Q: For the polynomial f (x) = x³ – 2x² – 5x + 6 what is the end behavior as x → +∞ O x → ±∞ O x → -∞ x…

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Q: Find a polynomial (x) of degree 4 that has the following zeros. 7, -6, 0, -3 Leave your answer in…

A: Given Zeros of the 4th degree  polynomial are  7,-6, 0 and -3. Note: If a, b, c and d are the zeros…

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: What is the degree and lead coefficient of the following polynomial? f(z) =−+52 = −x + 5x² − 6x³ +…

A: We have fx=-x+5x2-6x3+10 This can be written as: fx=-6x3+5x2-x+10 The degree is the highest power…

Q: what method should you use for a polynomial with 4 terms

A: The method to factor a polynomial with four term. Consider the polynomial of 4 terms is,…

Q: Find a polynomial f(x) of degree 3 that has the following zeros. -4 (multiplicity 2), 3 Leave your…

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Q: hat is the value of

A: Given that : The polynomial is f(x) = 2x2 + kx + 15 . When f(x) is divided by x + 8, Remainder = 95…

Q: Find the nth Maclaurin polynomial for the function. 4x - 3 f(x) n = 4 X + 1 P4(x) =

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Q: For the polynomial function A(x) = 2æ³ + 5a2 –28x–15 we know (x + 5) is a factor. Rewrite A(x) as a…

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Q: find a real root of the equation x + x + x + 7 = 0 by using Bisection method

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Q: . Find the polynomial of degree three for the following data using excel. Also find P(-2). X 0 1 |4…

A: We will find out the required value.

Q: For the polynomial, -1 is a zero of multiplicity two. f(x)= x^4 + 6x^3 + 22x^2 + 30x + 13. Express…

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Q: Find the critical points, A and B, of the following polynomial (with A<B). f(x)=2x3-294x+6 A= ?…

A: The given polynomial is fx=2x3-294x+6.

Q: For the following polynomial, use the given information to factor completely. 5. f(x) = x* + x³ +…

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Q: Given that (x + 2) is a factor of the polynomial 2a – 5x2 + ax + a, the - value of the constant a is

A: If (x+2)  is factor of the polynomial 2x3-5x2+ax+a then remainder will be zero when we divide (x+2)…

Q: Use synthetic division to factor f(x) 3 5x – 22x + 56 given f(2) = 0 -

A: Given function When x=2 the value of f(x) is 0 2 is the zero for f(x). Use 2 for synthetic division

Q: Find the nth Maclaurin polynomial for the function. 4x - 5 f(x) = n = 4 x + 1 P4(x) =

A: A Maclaurin polynomial of nth order  for the function f(x) is               f(x) = ∑n=0∞fn(0)n!xn,…

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: Given the function b(x)=evcosx+x, what is the approximated value of b(0.20)? Solve by utilizing the…

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Q: In the given equation as follows , find the nth Maclaurin polynomial for the function. f (x) =…

A: Given: f (x)=x2e-x for n=4

Q: Start with p =-1.5 and p, =-1.52 and use the secant method to find the root p=-1521of the polynomial…

A: p0 = -1.5 p1 = -1.52 f(x) = x3 - x + 2

Q: Find m so that x– 5 is a factor of f (x)= 4x² – 21x² +mx–15.

A: Consider the given polynomial fx=4x3-21x2+mx-15

Q: The base of a triangle is (x + 7) cm and its height is (x - 3). Which of the following polynomial…

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Q: Find the roots of the polynomial: f(x) = xª + 5x² – 36.

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Q: Complete the following tables. 1. Coefficient of Polynomial Constant term ху xy? (a) x + 8x? - 3x +…

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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: For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots.…

A: For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots.

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

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Q: f(x) = -5x6 + 8X5 + 9X4 -10X3 +2X2 -22X +45

A: To do the calculations in Excel, first enter the numbers in separate cells. Each number is…

Q: What is the remainder when f(x) = x3 – 13x2 + 40x + 18 is divided by x – 7? Show your work.

A:

Q: Find the remainder when f(x) is divided by x- k. 3) f(x) =x³ – 13x² + 15x + 14 k =-1

A: follow next step

Q: Perform the Synthetic Division for the following: m3+4m2+9m+10=0 Show complete solution.

A: The given equation is m3+4m2+9m+10=0

Q: Consider the division f(x) ÷ (x – k) where f(x) = (x + 8)²(x – 8)(x + 5)³. (a) What is the remainder…

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Q: Does x = 3 + i solve the following polynomial equation? x² + 2x +1 = 0

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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: Complete the term-coefficient-degree table for the polynomial. y4 − y3 + 10y2 + 7y

A: The degree of polynomial is equal to the degree of the highest degree term.

Q: Given the function f(x) = 2 + 6x, then what is f(x – 2) as a simplified polynomial?

A: The given function is: f(x)=2+6x

Q: Consider the polynomial g(x) (x - 1)(2x + 1)(3z –1)(5x + 1). A. What are the roots of g? B. Suppose…

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Q: Find the remainder of dividing 2907^N by 29, where N = 2805^532. Show all details of your solution,…

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Q: Find the nth Maclaurin polynomial for the function. 5x - 4 f(x): n = 4 x +1 P4(x) =

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Q: For the polynomial s2+2s+p=0, if the value of p is equal to 1, then the roots will be

A: Putting p=1, to find the roots of s.

Q: Find the nth Maclaurin polynomial for the function. 4x - 5 f(x) n = 4 x + 1 P4(x) = =

A: The function is  f(x)=4x-5x+1

Q: Find the polynomial of the specified degree whose graph is shown. Degree 4 P(x) = y 6F 5 4 2 1 + x…

A: It has zeros at x=-1 and x=2. So, it includes x+1 and x-2.