Use Excelto solve this problem. Find the polynomial of degree three for the following data. Also find P(-2) 4 6. Y 1 -1 1 -1

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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

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A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Topic = Polynomial

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Q: Consider a polynomial f (x) = ax³ – bx +c. Find the value of b if f' (2) = 0 and fl" (2) =44. -

A: The solution is given in the next step.

Q: Find the roots of the polynomial: f(x) = 3xª+5x³+20x² +30x+12.

A: fx=3x4+5x3+20x2+30x+12

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A: The given function is- f(x) = (x−2)3(−x+ 1)7(2x+ 6)2(x+ 4) (a) The leading term of the polynomial is…

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Q: b) (f°g)(x). Simplify and write as a polynomial in x.

A: Given,  f(x) = 2x + 5, and, g(x) = x3 - 3x.

Q: What is the degree of this polynomial? f(x)= 5x5-2x7+12x2+38

A: Degree of polynomial

Q: The number of zeros of the polynomial x?+ 4x +1 in Zs is:

A: As Z_6 is finite, we check for zeros of polynomial by substituting every  elements of Z_6.

Q: Which of the following equations is a polynomial in standard form? O f(x) = 4x - r +3VT %3D O f (r)…

A: Yes, you are correct.

Q: 2. Solve the zeroes or roots of the following polynomial functions. Show your complete solutions. a)…

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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: If x = -1 is a root of the polynomial 0 = x3 + 4x? + 2x – 1, what are the remaining roots? -3+V13 x…

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Q: Find the roots of the polynomial: f(x) = x4 + 4x2 – 32.

A: We have to find the roots of polynomial: fx=x4+4x2-32 To find the roots of given polynomial we need…

Q: Express as a polynomial.

A: Use the identity x+y2=x2+y2+2xy.

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Q: Use the graph of f(x) below, and the fact that a? – 3x + 3 is a factor of f(x), to find the equation…

A: NOTE: Refresh your page if you can't see any equations. . the given factor is  and as we can see…

Q: solve the following polynomial

A: Given is the polynomial 8x2-50. The objective is to solve this polynomial.

Q: 6) Write the equation of a polynomial function, in standard form, that has the roots of: - 2 and 5+…

A: In this question we need to find a polynomial equation in standard form.

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Q: What will be the degree of Lagrange interpolating polynomial given the following data; "Solve using…

A: The data given can be written in a table as follows: x fx 0 1 0.5 2 1 3 1.5 4

Q: How  many roots does the polynomial have?

A: NOTE: Refresh your page if you can't see any equations. . to find the roots, take P=0

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: 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

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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…

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Q: Find the roots of the polynomial: f (x) = x4 + 4x² – 32

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

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Q: Find a polynomial equation with real coefficients that has t 8, 9-i The polynomial equation is

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Q: Suppose that a polynomial equation has the following six roots: -4, -2, 1 + iv2, 1 - iv2, 2, and 4.…

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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: Consider the polynomial equation of P(x) = 0 where P(x) = x* – x3 – 2² – r – 2. (h) Find all zeros…

A: We will find the zeros of polynomial as shown below

Q: Rewrite the polynomial in the form ax + by + c and then identify the values of a, b, and c. -1-4x 3…

A: The given equation is y3-1-4x

Q: #7: For what value of k will the polynomial function f(x)=x'+6x² +kx=4 have the same remainder when…

A: The Polynomial Remainder theorem states that if x-b divides the polynomial, Qx, then the remainder…

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Q: 1. Write a polynomial function with the roots -1+ 5ivo x = -3+7V2,x = %3D 3

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Q: Write a polynomial, P(x), in factored form given the following requirements. • Degree: 3 • Leading…

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Q: Solve x'+9x+26x<-24 Show all your work.

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Q: Find all zeros of the function and write the polynomial as a product of linear factors. 2) f(x) = x3…

A: NOTE: Refresh your page if you can't see any equations. . here we have here x=-2 is a root so…

Q: What is the formula for w(x), the node polynomial?

A: Node Polynomial: Let f (X) be a function on the interval [a, b] and n nodes are chosen on the…

Q: Determine the 3rd degree polynomial which passes through the following points: 3 1 1 7 y 25

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Q: Calculate the roots of the following polynomial equations: (a) x – 6x2 + 1lx – 6 = 0 given x = 1 is…

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Q: Determine the polynomial y(x) that has roots at x= -0.7, x=0.5, x = 3.4, and x = 5.8. Make a plot of…

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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.