Let f (x) be a polynomial function with a zero of multiplicity of 1 at 3 and a zero of multiplicity of 2 at 1. Let g(x) be the radical function g of x equals the cube root of x minus 3 Part A: Using the Factor Theorem, determine the polynomial function f (x) in expanded form. Show all necessary calculations.  Part B: Let h (x) be the piecewise defined function of h(x) =  f(x) if x<0  g(x) if x≥0  Are there any breaks in the domain of h (x)? Explain why or why not

Q: Let f(x) = x³ - 2x² - 5x + 6. If x = 1 is a zero of f(x), use the Factor Theorem and synthetic…

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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: Consider the following higher degree polynomial function f(x) = -2x2 (5-2x) (x² + 1). f) Sketch the…

A: Hence the required answer is given belowExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If…

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Q: Is f(x) = x0 DNE 17x + 1 a polynomial function? If it is, give its degree. (If expression is not a…

A: We use definitions of polynomial function and degree of the polynomial to answer the given question.

Q: f (x) = 2x² 5x+ 10 g(x) 2.x-3 Find: f(g(x))

A: Given that -                f(x) = 2x²-5x+10                g(x) = -2x-3                f(g(x)) = ?

Q: Part A: Identify the zeros of the following polynomial function: f(x) = -x(x+ 2)(x - 2)(x+1) O -2,…

A: NOTE: Refresh your page if you can't see any equations. . to find the zeros, take f(x)=0

Q: Write a polynomial f(x) of degree 3 that has the zeros 1/3, √3, and -√3

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Q: 3. Determine whether the polynomial function t's g(x) = -4x²³²+ d x² even godd or reiter

A: The polynomial function is:gx=-4x5+2x2 To Do:We have to determine whether the given function is odd…

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: show that the polynomial below has a root between 0 and 1.

A: Given f(x)=2x3-11x2+18x-6 to find the root of the polynomial which lies between 0 and 1

Q: "The factored form of a polynomial function is f(x)=(x−1−3)(x−2−3i)(x−1−3)(x−2+3i). What is the…

A: "The factored form of a polynomial function is f(x)=(x−1−3)(x−2−3i)(x−1−3)(x−2+3i). What is the…