125 Answered Questions for the topic Polynomial Functions
Polynomial Functions Math
what is the output for the following function x=-4?
f(x)=3x^5+4x^3-x+11 thats the problem i need help with
Construct a polynomial function with the state properties. Third degree, with zeros 4-i, 4+i, and 5, and a leading coefficient of -5
Write a polynomial f (x) that meets the given conditions
Degree 3 polynomial with zeros 4, 5i, and -5i
Describe end behavior of the graph of a function
Describe the end behaviour of h(x)=-3x^4+4x^3+10x^2-8x+7 SEPARATE Question:Describe the end behaviour of h(x)=-14x-11-14x^4+10x^2-6x^7
Write a polynomial function of f
Write a polynomial function of f pf the least degree that has rational coefficients, and a leading coefficient of 1, and the zeroes 1 and 5-√2
Simplify each expression. Final answers should be written in standard form.(-4m2n)4·1/6m-10n-4I'm confused on how to work this out step-by-step. The exponents should all be positive, following the... more
Factor each polynomial completely. Make sure to check for a GCF first.w4-14w2-32I'm confused on how to work this out using the difference of squares formula, any help would be appreciated. I kinda... more
Polynomial Functions - Zeroes and Multiplicity
A polynomial function has zeros at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function in standard form that could represent this function.I'm confused as to how to... more
How do I write the polynomial function of 5/3 and 2i?
My worksheet is asking me to write a polynomial function of least degree with integral coefficients that has the given zeros. I don’t remember how to write polynomial functions with imaginary... more
I Need Help With Writing a Polynomial Function Equation (College Algebra)
The question asks"Find a degree 4 polynomial having zeros −5, −2, 4 and 5 and the leading coefficient is equal to −2. "P(x)=??? I need help finding the factored form, not simplified.I have tried 3... more
Polynomial Functions Nth Term
Find an nth degree polynomial function with real coefficients satisfying the given conditions
n=3-4 and i are zerosf(-3)=60
Constructing a polynomial function
Construct a polynomial function with the following properties: fifth degree, -4 is a zero of multiplicity 4, 1 is the only other zero.
V(x)= 6x^3+9x^2-24x+36 , where x is the widthof the room in meters. If the volume is 45 cubic meters , what is the width of the room ?
The volume of a computer room in Zeki's, an internet cafe is expressed in the pynomial function V(x)= 6x^3+9x^2-24x+36 , where x is the widthof the room in meters. If the volume is 45 cubic meters... more
When f(x) is divided by (x-2) there is a remainder of k+7. If f(x)=2x^3 - 4x^2 + 3x + 1 , then find the value of 'k'.
Not sure how to answer this, any help is much appreciated!!
Find an nth degree polynomial function with real coefficients satisfying the given conditions.
n=4 -1,3 and 4+3i are zeros f(1)=-216 f(x)=
Find a polynomial function of lowest degree with rational coefficients that has 3-i, and √7 as some of its zeros
Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the roller coaster plan. Ray says the third-degree polynomial has 4 intercepts. Kelsey... more
write the quadratics equation whose roots are 3 and 6, and whose leading coefficient is 4
use letter x to represent variable
The campus of a college has plans to construct a rectangular parking lot on land bordered on one side by a highway. There are 760 ft of fencing available to fen
(a) Express the length of the remaining side to be fenced in terms of x.(b) What are the restrictions on x?(c) Determine a function A that represents the area of the parking lot in terms of x.(d)... more
A farmer has 360 feet of fence to enclose a rectangular area. What dimensions for the rectangle result in the maximum area enclosed by the fence?
what are the length and width
Write down the value of the largest integer, k ,so that the equation 3x + 2/x2 + 1 = k has exactly one solution.
Write down the value of the largest integer, k ,so that the equation 3x + 2/x2 + 1 = k has exactly one solution. How to find k?
Long division of a polynomial - please help!
I'm really having trouble understanding how to solve this problem: "Use long division to express f(x) in the form f(x) = Q(x) + [R(x) ÷ (x2 -1)], where Q(x) is the quotient and R(x) is the... more
Polynomial Functions College Algebra
Find the nth-degree polynomial function with real coefficients satisfying the given conditions.
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... more
Find the x values
Use the rational root theorem and the factor theorem to help solve the equation. Be sure that the number of solutions for the equation agrees with the property below, taking into account... more
The profit of a company can be modelled by the polynomial function p(t)=-t^3+12t^2-21t+10. When will the company make their maximum profit of $108000?
Im not sure how to solve this. Please help