Which are polynomial functions? j(x)= (3x-2)(2x+5)(x+8) f(x)=-6[2(x-1)]^3  -5 r(x)= x-1   **"X" has a square root over it

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

A: This question is based on roots of a function.

Q: 1. Use the First Derivative Test with a number line to find the local extremes of the polynomial…

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Q: A rectangle has a length of 12 units and a width of 5 units. Squares of `x` by `x` units are cut out…

A: Solution : We have given a rectangle withe length of 12 units and width of 5 units. If squares of x…

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: What is an equation for a polynomial that includes  -degree 3 -zero of multiplicity 1 at x=2…

A: To find the equation for a polynomial that includes  degree 3 zero of multiplicity 1 at x=2    zero…

Q: find an equation for a polynomial with long run behavior g(x)=-x^4 whose only intercepts are (-5,0),…

A: intercepts are  (-5, 0) , (5, 0) , (2, 0) and (0, 2)  g(x) has degree of 4    Let,  g(x)  =  ax4 +…

Q: In Problem,list the potential rational zeros of each polynomial function.Do not attempt to find the…

A: Given: f(x)=2x5-x3+2x2+12

Q: Three of the zeros of a fourth-degree polynomial function f are -3, 4, and -5i. What is the other…

A:

Q: 11. Explain why odd-degree polynomial functions can have only local maximums and minimums, but even…

A: Solutions

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: State

A: Please refer to the image below

Q: In Problem,form a polynomial function f(x) with real coefficients having the given degree and…

A: According to conjugate pairs theorem , if the zeros the polynomial is a non real zeros , the those…

Q: A herd of 100 elk is introduced to a small island. The number of elk, f(x), after x years is modeled…

A: Here given polynomial function as fx=-x4+21x2+100 or it can be written as fx=-x22+21x2+100 Thus it…

Q: -x²+1 ²-2x-3 Part A: Use complete sentences to compare the domain and range of the polynomial…

A:

Q: 7. Find an equation of a polynomial that has x-intercepts of 2, - 6, and 1 and it passes through a…

A: Points where polynomial cuts x axis are the factors of polynomial with some constant  we can write…

Q: Write a polynomial function with the given zeros and their multiplicities. There are many possible…

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Q: Find a degree 4 polynomial having zeros -8, -2, 4 and 8 and the coefficient of æ4 equal 1. The…

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

A: Given that degree of polynomial that is n = 4. Roots are i and 3i. If any polynomial having complex…

Q: Find a polynomial function of smallest degree with integer coefficients that has the given zeros.…

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Q: Solve (x^3-4x^2+7x-10)\(x-2) using synthetic division.

A: Take the constant term of the divisor with the opposite sign and write it to the left. Write the…

Q: Zeros: - 4, - 1,3, 4; degree: 4

A:

Q: 9. For the function: f(x) = 2x4 + 11x³ + 14x²-9x-18. a) Use your calculator to sketch the graph of…

A: f(x)=2x4+11x3+14x2-9x-18

Q: Find a polynomial function of degree 4 with -4 as a zero of multiplicity 3 and 0 as a zero of…

A: topic- polynomials

Q: Write a third degree polynomial function with integer coefficients that has zeroes x=1 and x=i…

A: For a polynomial function with integer coefficients, the complex roots come in pairs. So, we must…

Q: The zeros of a polynomial function and the coefficients of the function are related. Consider the…

A: Given- fx=x+2x-1x+3 To Check- How the zeros of the above function is related to the standard form of…

Q: 6. True or False A polynomial function of degree 4 with real coefficients could have -3, 2 + i,2 -…

A: True or False A polynomial function of degree 4 with real coefficients could have -3, 2+i,2 - i, and…

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: How to find the cubic polynomial function that has zeros of x=2, x=3(+or -) i

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

A: Let the polynomial function f(x) that has 1,-3, i as zeroes. If i is a zero of the equation then –i…

Q: a degree 4 polynomial having zeros -6, -4, 3 and 8 and the coefficient of x^4 equals 1 The…

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Q: express the volume of the box as a polynomial function in terms of X

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Q: In Problem,form a polynomial function f(x) with real coefficients having the given degree and…

A: A polynomial in real coefficients is an expression of the form anxn+an-1xn-1+···+a1x+a0. This has…

Q: 7. find a polynomial function with real coefficients that has the given zeros: 0, 3, 2+i

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Q: 18. Find a third-degree polynomial with constant coefficient 18 and zeros- 2, and 3.

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Q: Find a polynomial function of smallest degree with integer coefficients that has the given zeros.…

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Q: What is the polynomial of degree zero

A: Degree of Polynomial: In a polynomial highest power of variable is called degree of polynomial.

Q: The polynomial function P(x) = 0.006A 2 - 0.02A + 120  models a man’s normal systolic blood…

A: P(x) = 0.006 A2-0.02 A+120P(x) represents systolic blood pressure at A

Q: The graph of polynomial function f(x)=a(x+1)^2(x−2) passes through point (0,2). Find the value of…

A: The graph of polynomial function f(x)=a(x+1)2(x−2)passes through point(0,2)

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

A: Que  Ans:     P(x) is 4 degree polynomial          with   roots 4, - 2 , 3i,  - 3i Implies that…

Q: 1. Determine an equation in factored form for the polynomial function represented by the gra 2 -2

A: Determine an equation in factored form for the polynomial function represented by the graph:

Q: Find the x-intercepts of the polynomial function. f(x) = x3 + x2 − 25x − 25

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Q: What is the leading coefficient for the polynomial function f(x)=(4x+2)(x-3)(x+

A: Given a polynomial fx=4x+2x-3x+10. Now for a given polynomial Px=anxn+an-1xn-1+...a1x+a0, the…

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

A: Given zeros: -2,3,-8 When x=-2 is a zero then the factor is (x+2) When x=3 is a zero then the factor…

Q: 9-94. What is the equation of a third degree polynomial that has roots x = 3, 2, and – 1 and passes…

A: The detailed solution is given below Thank you

Q: 4) Form a polynomial function whose real zeros and degrees are given. Zeros: 4 (multiplicity 3), –3…

A: we have to form a polynomial with degree 4 whose zeros are given to us 4 and -3. And we have the…

Q: alpha and beta are zeros of the quadratic polynomial x square-6x+y find the value of y if 3 alpha+2…

A: alpha and beta are zeros of the quadratic polynomial x square-6x+y find the value of y if 3 alpha+2…

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

A: Given:  p(x) is a polynomial of degree 4 and one of its root is 1+i.    To find:  The maximum…

Q: 7. Determine the equation of a polynomial with the following properties: - passes through (-÷0) and…

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Q: Find a polynomial of degree 4 with integer coefficient and zeros i and 3 – i (express your answer in…

A: We know imaginary solutions only come in pairs so Given zeros we can written in pairs.

Q: 2. Write an equation and sketch a graph of a polynomial function that has 3 roots, 2 with even…

A:

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.