n= 3; 4 and 2i are zeros; f(-1) = -50 31. n= 4; -2, 5, and 3 + 2i are zeros; f(1) = -96

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: 10. Write a third-degree polynomial f(x) with integer coefficients and zeros of 5, -, and 4.

A: Let the polynomial is  fx=αx-15x--23x-4=αx-15x+23x-4=α5x-153x+22x-4 Coefficient will be integer if α…

Q: Study the graph of polynomial function f. f(x) -4- -3 -1 -1 -2 If g(x) f(z - 2) 4, what are the…

A: Roots of g(x) are values of x when g(x)=0

Q: 10. Write a 3rd degree polynomial function with zeros: -4, 6i

A: Given: Zeroes of a polynomial which are -4, and 6i. The complex roots always lie in pairs, if one…

Q: 1.  Give a polynomial function that only has x intercepts of 2,4, and -1 with a y intercept of -24.

A:

Q: A polynomial function P(x) is given by 5x^3+bx^2+cx+d and has zeros at the points (0,0) and (2,0).…

A: We can find value of b as follows

Q: Find a polynomial of a degree n that has only the given zero(s). x=-8,5,3; n=3

A:

Q: Use the linear factorization theorem to construct a polynomial function with the given condition.…

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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: Analyze the polynomial function f(x) =x-(x- 2) using parts (a) through (e).

A: Please find attachment for the details solution

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

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Q: Define a polynomial function, k, with degree three and has roots at x=−13, x=-3, and x=1  and passes…

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Q: Determine a possible 3rd degree polynomial function in factored form with its only (3, 0) and (-2,…

A:

Q: 1.The graphs of f(x) = (x+3)(x- 4) and g(x) = (x+ 3)(x- 4) Which graph represents which polynomial…

A: Given that:

Q: In Exercises 12–20, find all zeros of each polynomial function. Then graph the function. 12. f(x) =…

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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.

Q: 13) Use the Intermediate Value Theorem to show that the polynomial function has a zero in the given…

A:

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

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Q: Give a possible formula of minimum degree for the polynomial / (x) in the graph BeloW. y. 16 8. -16…

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Q: Find a polynomial of degree n=4 that has the given zero(s) x = −4, −1

A: Find a polynomial of degree n=4 that has the given zero(s) x = −4, −1

Q: Write a polynomial function of least degree with integral coefficients that has the given zeros. 1…

A:

Q: 9) Use the Intermediate Value Theorem to show that the polynomial function has a zero in the given…

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Q: sketch the polynomial function by finding all the critical values. g(x)=x4-4x3-15x2+58x-40

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

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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: 8. Determine algebraically the polynomial function that passes through the points below.

A: Given,

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A:

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+

A:

Q: O mult. 2, -2i

A:

Q: 4. Determine a possible equation for the polynomial function that corresponds to this graph.

A: Let's Solve,

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

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Q: Find a polynomial f(x) of degree 5 that has the following zeros. 6, -9, 4, 0, 3. Leave answer in…

A: topic - polynomials

Q: 8. Find a fourth degree polynomial function with zeros 4,-2, 51, and -3i.

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Q: 7. Find a polynomial of degree 3 that has the given zeros: -1, 1, 3 and a constant term equal to -9.

A:

Q: 5) Write a rule for the 6th degree polynomial 8(x) pictured at right, whose only roots are -5, -2,…

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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: 1. Construct a polynomial function f(x) that might have the given graph shown. ( More than one…

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Q: Q3. Using interpolation, approximate the following function by a polynomial of degree at most 3…

A:

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

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Q: Find a polynomial fuction f(x) of degree 3 with real coefficients that satisfies the given…

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Q: #37

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.