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; 4 and 2 i are zeros; f (2) = 32 f(x) = (Type an expression using x as the variable. Simplify your answer.)

Q: Find the zeros of the polynomial f(x) = 3 its two zeros are equal in magnitude but opposite in sign…

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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 a polynomial function with real coefficients that has the given zeros.4, −3i

A: Given: Zeros: 4, -3i

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: 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: The graph of the polynomial function f(x) =x* +x2 - 4x +6 is shown below. What does the real…

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Q: 11) f(x) = x+3x3-4x2 - 10x - 4

A: Note: As per the Bartleby Guidelines we can answer only first question when multiple questions…

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

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Q: Find a degree 3 polynomial having zeros -2, 1 and 8 and the coefficient of x3x3 equal 1. The…

A: Zeroes are the values which makes the value of the polynomial zero. As zeroes of the polynomial is…

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: When a real zero x = a of a polynomial function f is of even multiplicity, the graph of f ________…

A: In the factored form of polynomial equation, the number of times a factor appears is called…

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

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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: Given roots x = 4 (multiplicty 2), x = 1 + sqrt(2), and a leading coefficient of 1, write a…

A: Given:   Roots of polynomial: x = 4 (with multiplicity 2)  and  x = 1 + 2 Therefore other root is x…

Q: write a polynomial f(x) in general form that has the following characteristics.  degree 3 leading…

A: write a polynomial f(x) in general form that has the following characteristics.    degree 3 leading…

Q: Find an equation of a polynomial function with real coefficients having zeros 4 and 2+3i

A: We have to find the equation

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 the zeros for the polynomial function f(x) = -2(x - 1)(x + 2)2(x + 5)3 and give the…

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

A: we have to find an nth degree polynomial function with real coefficients satisfying the conditions…

Q: The term containing the highest power of x in the polynomial f (x) is 6x. One of the roots of the…

A: Given the quadratic polynomial x2-2x+3 is a factor of f(x) and the highest power of f(x) = 3 Let…

Q: (a) Find the rational zeros and then the other zeros of the polynomial function f(x) = 3x +7x +147x…

A: givenf(x)=3x3+7x2+147x+343a.(3x3+7x2)+(147x+343)=0x2(3x+7)+72(3x+7)=0

Q: Find the zeros for the polynomial function f(x) = 2(x - 5)(x + 4)2 and give the multiplicity for…

A: The given equation is fx=2x-5x+42.

Q: Write a polynomial function f of least degree that has rational coefficients, a leading coeficient…

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

A: Given: f(x) = x3 + 6x2 + 5x -6 find: Rational zero of the polynomial function and use it to find all…

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: 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 3 with real coefficients and the following zeros. -4,-3+i f(6) =…

A: Imaginary roots always exists in pairs.

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

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

A: fx=-3x+12x-43 To find zeros, put fx=0, we get -3x+12x-43=0⇒x+12=0  or  x-43=0⇒x=-12  or  x=4…

Q: Find the zeros for the polynomial function f(x) = x3 + 4x2 + 4x and give the multiplicity for each…

A: Given polynomial function - f(x) = x3+4x2+4xf(x) = xx2+4x+4f(x) = xx2+22+2×2×x…

Q: The graph of the polynomial function f(x) =x* +x2 - 4x + 6 is shown below. What does the real…

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Q: Find a polynomial function of degree 3 with real coefficients that has the given zeros -2, 3, -8 The…

A: Zeros of third degree polynomial are -2,  3,  -8. The factors are x+2,  x-3  &  x+8.

Q: State the degree of the polynomial function.  (If an answer does not exist, enter DNE). f(x) = x2-1…

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Q: Find the third degree polynomial function that has an output of 40 when x=1, and has zeros −19 and…

A: Here we need to find cubic polynomial with complex zeros x=-i, x=-19

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: Use the graph of the polynomial function f(x) (a) to solve f(x)= 0, and (b) find the factorization…

A: Given, Polynomial function, f(x)=-0.5x3+2x2+2x-8 To find: a) Roots of f(x)               b)…

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

A: The  polynomial function is given f(x) =x3- 2x2+x. To find the zeros of the polynomial function ,…

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 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…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.