49. Maximum of a Fourth-Degree Polynomial Find the maxi- mum value of the function f(x) = 3 + 4x? - x* [Hint: Let t = x².]

Q: 29. Write a third-degree polynomial f(x) with integer coefficients and zeros of i, -3, and 3.

A: Given  zeros of a third degree polynomial 14,−12 and 3

Q: 2. Write the equations of functions satisfying the given properties, in expanded form. a. Cubic…

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Q: 3. Every polynomial function of odd degree with real coefficients has at least real zero(s).

A: Given: 3.every polynomial function of odd degree with real coefficient has atleast_________real…

Q: 14) Use the Intermediate Value Theorem to show that the polynomial function has a zero in the given…

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Q: Find a polynomial f (x) with leading coefficient 1 and having the given degree and zeros.

A: Given: Polynomial f(x) with leading coefficient 1 and zeros -2,0,5.

Q: etch #2 Sketch the graph of a polynomial function that meets these requirements: (1) As x -0, y -0…

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Q: Find a polynomial f (x) with leading coefficient 1 and having the given degree and zeros.

A: To find a polynomial  f(x) with leading coefficient 1 and having the given degree and zeros.  degree…

Q: 4. Find the polynomial function f(x) of degree 4 with zeros 2 (multiplicity 2) and 3i, f(0) =36

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

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Q: 14. Find the absolute maximum and the absolute minimum of f (x) = -x³ + 9x on [-4, 3].

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Q: 36. The graphs of polynomial functions f(x) and g (x) are shown on the standard (x, y) coordinate…

A: It can observe here that f(x) is parabolic curve  and g(x) is an straight line. Now let's write the…

Q: IV. Write a polynomial f(x) that satisfies the given conditions. 7.) Polynomial of lowest degree…

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Q: 77. Show that if f is a quadratic polynomial, then the SDQ at x = a (for any h + 0) is equal to…

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Q: 2. Find the polynomial f (x) of degree 4 whose graph is shown. Leave your answer in factored form.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use a graphing utility to graph f and its second-degree polynomial approximation P2 at x = c.…

A: Obtain the values of f (x).…

Q: Find a polynomial function ?(?) of degree 3 with real coefficients that satisfies the given…

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Q: 2. If a third degree polynomial has a lone x-intercept at x=a, discuss what this implies about…

A: The x-intercept of a function is the point at which the function touches the x-axis. That is the…

Q: 8. Find a fourth degree polynomial function with zeros 4, –2, 3i, and –3i.

A: given zeros 4,-2,3i and-3i

Q: 4. The graph of the polynomial function f below. If g(x)=f(x+5)-1, what are the roots of g(x)?

A: Given ,  The graph of the polynomial function f  If g(x) = f(x + 5) - 1  We have to find the roots…

Q: Find a polynomial f (x) with leading coefficient 1 and having the given degree and zeros.

A: The polynomial having leading coefficient 1 and degree 4 is starts from x4. The roots or zeros…

Q: 3. Find a least degree polynomial function with real coefficients that has the given zeros.(The…

A: Solving the problem by obtaining the polynomial.

Q: 2. (a) Determine the least degree of the polynomial function given by the following graph. (b)…

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Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros -3,…

A: Solution: The objective is to find the polynomial

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

A: The objective is to find an nth degree polynomial function with real coefficients satisfying the…

Q: 16. A cubic polynomial function f is defined by f (x) =x3 + ax2 + bx + c, where a, b, and c are…

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Q: Find a polynomial function f(x) of least possible degree having the graph shown. 10 (1, -30- o f(x)…

A: The graph of the given function touches the x-axis at the points (1, 0) and (-1, 0). So x = 1 and x…

Q: 15(a). Consider the quadratic function f(x)=x²-2x-3. (1) Find the vertex and the intercepts of the…

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

A: Given that n = 3And  - 6 and i are zerosAnd f(-3) = 60To find an nth degree polynomial function with…

Q: 7. find a polynomial function with real coefficients that has the given zeros: 0, 3, 2+i

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Q: 6. If a polynomial function of degree 4 has 1+ias one of its roots, what is the maximum number of…

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Q: 4 2- Consider the graph of the polynomial function shown. Whi of the following could be the -2 2 4…

A: Given query is to find the formula ifbthe function.

Q: 7. Find a fourth-degree polynomial with integer coefficients that has zeros x=3i and x=-1. The root…

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Q: 34. Find the value of the local minimum for g(x) =- x' + 27x + 25. - 3x127 -6x 34.

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Q: 2a.)Determine a possible equation for a polynomial function that has degree 5 with zeroes of -4…

A: Let  To determine the possible equation of polynomial that has degree 5 with zeroes of -4 (order 3)…

Q: h(x) 36千 27 18- 9- -5 -4 3-2 -i 0/1 2 4 5-x 3 4 6- -18+ 27+ 36+ -45+

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Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros -5,…

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Q: 21. Find a fourth-degree polynomial with integer coefficients that has zeros x=3i and x=-1. The root…

A: Let f(x) be a fourth degree polynomial with integer coefficients. The zeros of the polynomial f(x)…

Q: Find a polynomial of degree n that has only the given zero(s). (There are many correct answers.) x =…

A: In this question we have to find a polynomial of degree n that has only the given zero(s).

Q: 6. If a polynomial function of degree 4 has 1+i as one of its roots, what is the maximum number of…

A: 6. The polynomial is of degree 4 so it have 4 possible roots which can be real or Complex  Given…

Q: 9. A polynomial function has a point of inflection at (a,0) and a point of tangency at (b,0).

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Q: 49. Find the quadratic polynomial g(x) = ax? + bx + c which best fits the function f(x) = e*t at x =…

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Q: 1. Give one example of a polynomial of degree 4 that has a zero at x = 5 with multiplicity 2. (There…

A: x=5 is a zero. So (x-5) will be a factor.  Since it has multiplicity 2 so the factor will be (x-5)2…

Q: 8. Form a polynomial function with real coefficients having a degree of 4 and the zeros: -3, 1, 2i.…

A: Given,            A polynomial function with real coefficients having a degree of 4 and the zeros:…

Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros -3,…

A: The zeroes are:-3, 0, 1, 4The degree is 4The coefficient of x3 is 4To find the polynomial

Q: 15(a). Consider the quadratic function f(x)=x2- 2x-3. (i) Find the vertex and the intercepts of the…

A: (a)  To find: The vertex and intercepts of the function: Given: The quadratic function is…

Q: 1)Find the fourth degree Maclaurin polynomial for the function. f (x) = e3z

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Q: 6. If a polynomial function of degree 4 has 1+i as one of its roots, what is the maximum number of…

A: Given:  p(x) is a polynomial of degree 4 and one of its root is 1+i.    To find:  The maximum…

Q: uppose that a polynomial function of degree 5 with rational coefficients has the given numbers as…

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Q: How many different numbers of critical points can a cubic polynomial have? Give an explic…

A: In this question we will use basic of calculus i.e concept of critical points. We will assume a…