Construct a polynomial function with the following properties: third degree, only real coefficients, −1 and 3+i are two of the zeros, y-intercept is −40

Q: Determine the number of zeros of the polynomial function. f(x) = x³ + 6x2+ 1 %3D X zero(s) Need…

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Q: 3. Sketch the graph of the polynomial function. Make sure to label the roots and y-intercept (a) (x…

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Q: What are all the zeros of the polynomial function? f(x) =x^4-2x^3-6x^2+22x-15.

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Q: Find all of the real and imaginary zeros for the polynomial function. 2) f(x) = x³ + 125

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Q: Construct a polynomial function with the following properties: third degree, only real coefficients,…

A: Given that 2+i is a zero, so (2-i) is another zero So the factors are (x-(-4)) , (x-(2+i)),…

Q: Find the y-coordinate of the y-intercept of the polynomial function defined below. f (x) = 2(3x +…

A: Given polynomial functionf(x) = 2(3x+4) (x2+2)We find  y-intercept.

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: Use Standard equation of polynomial and put value and solve

Q: Construct a polynomial function with the following properties: fifth degree, 4 is a zero of…

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Q: What is the end behavior of the polynomial function? Drag the choices into the boxes to correctly…

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Q: Construct a polynomial function with the following properties: fifth degree, 3 is a zero of…

A: Given information :- Construct a polynomial function with the following properties fifth degree, 3…

Q: Find the zeros for the polynomial function f(x) = 3(x + 5)(x + 2)2 and give the multiplicity for…

A: The given polynomial function is fx=3x+5x+22. Note that the value of the above function is 0 at x=-5…

Q: Use a graphing utility to graph the polynomial functions                                p1(x) = x3 −…

A: Given that: The polynomial  p1(x) = x3 - x + 1 and p2(x) = x3 - x.

Q: Find all real and imaginary zeros for the polynomial function f(x)=2x3−11x2+25.

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Q: Find all real and imaginary zeros for the polynomial function f(x)=x3+12x2+43x+42.

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Q: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of…

A: If a is a zero and m is the multiplicity, we can write it as (x-a)m

Q: Construct a polynomial function with the following properties: third degree, only real coefficients,…

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Q: Make up a polynomial that has the following characteristics:crosses the x-axis at - 1 and 4, touches…

A: It is given that;   a polynomial crosses the x-axis at - 1 and 4, touches the x-axis at 0 and 2 and…

Q: Find the x-intercepts of the polynomial function. f(x) = x3 – 3x2 - x + 3 (x, f(x)) : |(smallest…

A: f(x)=x3-3x2-x+3

Q: Construct a polynomial function with the following properties: third degree, 4 is a zero of…

A: Given information: Third degree, 4 is a zero of multiplicity 2, -1 is the only other zero, leading…

Q: Write a third-degree polynomial f(x) with zeros -1, 3V2, and – 3 V2.

A: If three roots let a, b and c are given then the polynomial is given as (x-a)(x-b)(x-c)

Q: For the polynomial function below, list each real zero and multiplicity. Determine whether the graph…

A: We will solve the problem.

Q: Determine the number of zeros of the polynomial function. f(x) = x4 – 4x zero(s)

A: Consider the given function: f(x)=x4-4x Here, the degree of function f(x) is 4.

Q: What are all the zeros of the polynomial function f(x)=x³ + 3x² – 6x – 16? A -1+/33 x = - 2, x =…

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Q: Write the polynomial function given the zeros 4. Zeros x=-2 x=1 x=5

A: Number of zeros = 3, Hence degree of polynomial is 3  Polynomial function is ax3+bx2+cx+d=0,We can…

Q: Construct a polynomial function with the following properties: third degree, only real coefficients,…

A: We have to find polynomial function equation.

Q: What is the end behavior of the polynomial function? Drag the choices into the boxes to correctly…

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Q: Find the x-intercepts of the polynomial function. f(x) = x3 + x2 - 64x – 64 (x, f(x)) = | (smallest…

A: given function :

Q: Construct a polynomial function with the following properties: third degree, 2 is a zero of…

A: Given :  Polynomial is of degree 3. 2 is a zero of multiciplity 2. -1 is the other zero. Leading…

Q: n which interval does the polynomial function f ( x ) = x 3 − x 2 − 31 have a zero?

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Q: Find the zeros for the polynomial function f(x) = x3 - 2x2 + x and give the multiplicity for the…

A: Given function is fx=x3-2x2+x.  fx=x3-2x2+x=xx2-2x+1=xx-12 Zeroes of the polynomial will be:…

Q: Find all zeros of the polynomial function f(x) = 2x3 - 2x. Then graph the function.

A: Given polynomial function is fx=2x3-2x. Factoring the given polynomial. fx=2x3-2x=2xx2-1=2xx+1x-1…

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

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Q: Consider the polynomial function f(x) = 3x² + 8x – 4 a. Divide f by x - 2. b. Find f(2).

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Q: Find a polynomial function f(x) having -1,2, and + i as zeros and f(3)=80

A: Given information:

Q: Construct a polynomial function with the following properties: third degree, only real coefficients,…

A: Here we have to construct a third degree polynomial. Here we must know that for a polynomial having…

Q: find the zeros for the polynomial function and give the multiplicity for each zero. State whether…

A: The given function is

Q: Construct a polynomial function with the following properties: third degree, only real…

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Q: What is the cubic polynomial function with zeros 3, 3, and -3? write a linear factor for each zero.…

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Q: Construct a polynomial function with the following properties: third degree, only real coefficients,…

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Q: Construct a polynomial function with the following properties: third degree, only real coefficients,…

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Q: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of…

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Q: Construct a polynomial function with the following properties: third degree, only real coefficients,…

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Q: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of…

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Q: Consider the following polynomial: f (x) = (2x + 1) (x – 3)² a. What is its end behavior? Define…

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Q: onstruct a polynomial function with the following properties: fifth degree, 4 is a zero of…

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Q: A house is purchased for $109,000 and is expected to appreciate $600 per year. (a) Find a polynomial…

A: *let, number of years = x   *given:- purchasing value = $ 109000 appreciation value = $ 600 per year…

Q: Describe the left-hand and right-hand behavior of the graph of the polynomial function. (Select all…

A: Given h(x) = 7 − x4 To do Describe the left-hand and right-hand behavior of the graph of the…

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Given, the coefficients of a polynomial functions are all positive.

Q: Find the zeros for the polynomial function f(x) = x3 + 7x2 - 4x - 28 andgive the multiplicity for…

A: fx=x3+7x2-4x-28 We need to find the zeroes of the polynomial and give the multiplicity for the zero…