- f(x) is a polynomial function of degree 4 whose coefficients are real numbers; two of its zeros are -3 and 4 – i. Explain why one of the remaining zeros must be a real number. Write down one of the missing zeros.

Q: Show that the polynomial function f(x) = x3 - 2x - 5 has a real zero between 2 and 3.

A: since f(x) is a polynomial function so it is continuous at every point.

Q: f(x) = x4 – 1Ox2 + 9

A: Solution of polynomial function is given by x=-1,1,-3,3  Clearly each zero has multiplicity one…

Q: Find the y-coordinate of the y-intercept of the polynomial function defined below. f (x) = 3+ 5x? +…

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Q: Determine whether the following statement is true or false. If false, explain why. A polynomial…

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Q: Find a polynomial function of degree 3 with real coefficients that has the given zeros. - 1, 2,-3…

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Q: Sketch the graph of the function by (a) applying the Leading Coefficient Test, (b) finding the real…

A: Given: hx=13x3x-42  ……1

Q: When a polynomial function f is divided by x-c , the remainder is .....................

A: Remainder theorem states that if a polynomial px is divided by x-a then  the remainder is pa.…

Q: Find a polynomial​ function, ​f(x), with least degree with integer coefficients that have 5 −2​, and…

A: A general equation of polynomial having zeros a, b, and c is given by

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

A: Given: n=4;  means the polynomial's maximum power will be 4zeroes:−2, −12 and if(1)=18

Q: What is the leading coefficient of athird degree polynomial function that has an output of 1,272…

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Q: Find a 4th degree polynomial function with real coefficients in which the zeros

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Q: Find all zeros of the polynomial function f(x) = x3 - x2 - 4x + 4.Then graph the function.

A: The polynomial function is f(x)=x3-x2-4x+4

Q: Show that the polynomial function f(x) = x3 - 2x - 5 has a real zero between2 and 3.

A: We have to show that polynomial fx=x3-2x-5 has a real zero between 2 and 3.

Q: Sketch the graph of the function f(x) = 8 − x3 by (a) applying the Leading Coefficient Test, (b)…

A: Sketch the graph of the function f(x) = 8 − x3 by (a) applying the Leading Coefficient Test. (b)…

Q: In the given equation as follows, determine whether the statement is true or false. If it is false,…

A: If a polynomial has three x-intercepts then there must be three intervals for which the function…

Q: 27. Show that the third differences of a polynomial function of degree 3 are nonzero and constant.…

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Q: 2. D- f(x) = -is not a polynomial function because %3D 2x

A: A polynomial function is a function such as a quadratic, a cubic, a quartic, and so on, involving…

Q: Find the third degree polynomial function that has an output of 320 when x = 4, and has zeros 2 and…

A: NOTE: Refresh your page if you can't see any equations. . the first zero is x=2 so the first factor…

Q: If f(x) is a polynomial of the first degree and a is not equal to B, show that f(x)= f(B)(x-a) -…

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Q: Find the zeros of the quadratic polynomial f(x) =abx2+(b2-ac) x-bc,and verify the relationship…

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Q: Which polynomial function in standard form has a root of multiplicity 1 at x= 3, and a root of…

A: A polynomial function has a root of multiplicity 1 at x=3, and a root of multiplicity 2 at x=4

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: 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 a fourth-degree polynomial function f(x) with realcoeffi cients that has -1, 1, and i as zeros…

A: Since two zeros are -1 and 1, so two factors are (x+1) and (x-1), The complex zeros occur in…

Q: Use the Intermediate Value Theorem to show that the polynomial function f(x) = x3 + 2x − 1 has a…

A: f(x)=x3+2x-1, [0,1]

Q: Find a polynomial f (x) of degree 3 that has the indicated zeros and satisfies the given condition.

A: Given: A 3 degree polynomial with zeros -3,-2,0.

Q: Given the function f(x) = ;x – x², then what is f(x - 2) as a simplified | | polynomial?

A: Given polynomial f(x)=52x-x2.

Q: Find a polynomial function of degree 3 that has zeros 1, -2, and 3 and in which the coefficient of x…

A: We need to find the a polynomial function of degree 3 that has zeros 1, -2, and 3 and in which the…

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: Create a polynomial function whose degree is 4, the leading coefficient is odd and the constant term…

A: Polynomial function: A  function which consist of positive power of the variable or non-negative…

Q: list the potential rational zeroes for this polynomial function f(x)= 3x^5 - x^2 + 2x + 24

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Q: Find a third degree polynomial function with zeros 3,-4, and -/-

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Q: How do you find a polynomial function with given zeroes?

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

A: Intermediate value theorem: - The intermediate value theorem asserts that if "f" is a continuous…

Q: f(x) = -(x + 2)(4x + 1)(x – 3)

A:

Q: Find an equation for a polynomial f(x) that satisfies the following: Degree 3 Zero at x=3 Zero at…

A: We have to find degree 3 polynomial fx having zero at x=3, x=2 and x=-1, and y intercept is 0,4.

Q: Decide whether the following statement is true or false. A polynomial function of degree 4 with real…

A: Given, A polynomial of degree 4 with real coefficient could have  -3, 1+i, 1-i  and  -3+7i   as…

Q: Use the graph to identify the formula for a polynomial function of least degree. f(x) 4- 3 21 1 2…

A: For the solution follow the next step.

Q: Use the graph to identify the formula for a polynomial function of least degree. y 5- 4- 21 1+ -5 -4…

A:

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: pind the Maclaurin polynomial of degree 3 for the function f(x)=è=7x

A: Given function f(x)=e-7x. The objective is to find the Maclaurin polynomial of degree 3.

Q: Find a polynomial f(x) of degree 5 that has the following zeros. -4, -1, 6 (multiplicity 2), 0 Leave…

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Q: Use the given polynomial function to answer the questions. f (x) = x² (2x – 1)² - What is the degree…

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Q: Find the y-coordinate of the y-intercept of the polynomial function defined below. f (x) = (x +2)…

A: Given : fx = x+2

Q: Find the third degree polynomial function that has zeros -10 and -12i, and a value of 1,776 when x=2

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Q: Use the graph to identify the formula for a polynomial function of least degree. y 5- 4- 2 1+ +►X -5…

A: 1. Identify the x-intercepts from the graph In the above graph the x intercepts are at x=-4 , x=-2…

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

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

Q: Show that the polynomial function f(x) = 3x3 - 10x + 9 has a real zero between -3 and -2.

A: Given that, fx=3x3-10x+9