Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value. n= 3; 3 and 4 i are zeros; f (2) = - 20 ..... f(x) =O (Type an expression using x as the variable. Simplify your answer.)

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

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Q: Given:f(x) = x2 − 36 .(a) find real zeros of the polynomial function, (b) determine whether the…

A: Even function: A function f is even if for all x, f(-x)=f(x) Odd function: A function f is odd if…

Q: To find the degree of a polynomial from its factored form, add the exponents on all linear factors…

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Q: Find a rational zero of the polynomial function and use it to find all the zeros of the function.…

A: To solve the root of the  provided function  f(x)=3x3-17x2+18x+8.  Now, First use the rational…

Q: Find the zeros of the polynomial function and state the multiplicity of each. f(x) = - 3(x- 1) (x+…

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

A: Given that f(x) is a 3-degree polynomial. Zeros are 1, 5i, and -5i (conjugate of 5i) So, the factors…

Q: Find the third degree polynomial function that has an output of 16 when x=2, and has zeros 1 and -2i

A: We have to find  a third degree polynomial function that has an output of 16 when x=2, and has zeros…

Q: Create an equation of a polynomial of degree 5 that has exactly three r-intercepts such that the…

A: Step:-1 Note:- Let P(x) be a polynomial in x and x=a be root of the polynomial P(x) then 1. If…

Q: Find a real root using bracketing method of the polynomial function f (x) = 3x³ + 8x² – 9x – 13. DOF…

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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: 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 all zeros of the polynomial function f(x) = -x3 + 5x2 - 5x - 3. Then graph the function.

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Q: Which polynomial function would have the end behaviour of as x→ too, Y→ co? a) f(x) = 7x³ - 8x* -…

A: Topic = Functions

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

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Q: Consider the polynomial function. f (a) = #(x – 2) (x + 5)? - Which statements correctly describes…

A: Here the given polynomial is f(x)=xx-23x+52 ................................. (1)

Q: The polynomial function f ( x ) = x 3 − 3 x 2 + 25 x − 75 has 5 i as a zero. What is the only real…

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Q: 6. Find the zeroes of the polynomial function P(x) = (x - 7) (x + 1), and state the multiplicity of…

A: Finding zero of the polynomial function

Q: Given the polynomial function y = A x^3 + 6x^2- Bx , where A and B are unknown constants. If…

A: Given, y=Ax3+6x2-Bx, where A and B are unknown constants.

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

A: To calculate nth degree polynomial function, Given that,  n=3 The zeros of polynomial are 2 and 4i…

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: Find an nth-degree polynomial function with real coefficients satisfying the conditions n = 4; -2, -…

A: nth degree polynomial function: f(x)=a0xn+a1xn-1+....+an

Q: Find an nth-degree polynomial function with real coefficients satisfying the conditions n = 3; 6 and…

A: n=3 and zeros of the polynomial are 6 and -5+2i. Therefore -5-2i is also a zero of given polynomial,…

Q: Find all zeros of the polynomial function f(x) = (x - 2)2(x + 1)3.Then graph the function.

A: Given: fx=x-22x+13 for finding zeros of given polynomial, we equate it with zero

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

A: To find a polynomial function

Q: Find all real zeros for the given polynomial function: f(x)= 4x3-7x+3

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

A: Let the function be fx=ax3+bx2+cx+d It is given that f-1=50, ⇒f-1=a-13+b-12+c-1+d50=-a+b-c+d…………i…

Q: Find all zeros of the polynomial function f(x) = -(x + 1)6.Then graph the function.

A: Given: fx=-x+16 for finding all zeros of given function, we equate given function with zero so,…

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

A: Consider the given zeroes of the polynomial function fx, 6 , -5+2i Since, the roots of complex…

Q: Based on the degree of the polynomial f(x) given below, what is the maximum number of turning points…

A: Result:

Q: Find the zeros for the polynomial function f(x) = 4(x - 3)(x + 6)3 and give the multiplicity for the…

A: Given function is fx=4x-3x+63. The multiplicity of a zero means that the number of times a given…

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

A: Write in factor form

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

A: the first zero is x=2 so the factor is (x-2) the second zero is x=5i so the factor is (x-5i) the…

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: 4. Consider the polynomial f(x) 1234(x + 5)²(x² + 4)(x³ + 8). (a) What is the degree of f? How can…

A: Given f(x)=1234x+52x2+4x3+8

Q: Find an nth-degree polynomial function with real coefficients satisfying the conditions n = 3; -5…

A: To find a polynomial with: degree,n=3zeroes: -5,4+3if2=91

Q: For the polynomial function ​f(x)=x4+10x3+25x2​, answer the parts a through e. a. Use the Leading…

A: Leading Coefficient Test : The graph of the polynomial function eventually rises or falls depends…

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

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Q: Find a polynomial function f(x) with real coefficients that has the given zeros. (There are many…

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Q: Use the graph of f(x) below, and the fact that x^2-x+3 is a favor of f(x) to find the equation of…

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

A: we have given n=3 and 3 and 4i are the roots of polynomial and f(1)=34if we take polynomial with…

Q: Find the zeros for the polynomial function f(x) = 4(x - 3)(x + 6)3 and give the multiplicity for…

A: fx=4x-3x+63 Now, fx=0⇒4x-3x+63=0⇒x-3=0  or  x+63=0⇒x=3  or  x=-6 Therefore zeros are x=3 with…

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

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

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Q: Find a polynomial function of degree 3 with real coefficients that has the given zeros. -2, 3, -6…

A: The zeros of a third degree polynomial are -2, 3, -6. Therefore the factors of the polynomial are…

Q: Find the zeros of the polynomial function, and state the multiplicity of each. f(x) = x° (x– 4)° (x…

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Q: Find the polynomial function f with real coefficients that has the given degree, zeros, and solution…

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