Write a polynomial with degree 3 that has zeros at x=−5/2 and x=2+√5. Write the function using only integers

please create two polynomials with different degrees but the same characteristics: crosses the x-axis at x = 8 touches the x-axis at x = -6 and x = 1 is above the x-axis between 1 and 8. Explain how you used the information given to create the polynomial. Leave your polynomial in its factored form.

Find a polynomial whose graph fits the following points: (-2,-13), (0,1), (2,3), (4,5)

Perform synthetic division to divide the function f(x) = x^3+2x^2-7x-24 by -3. Then, state the remainder and explain weather x-3 is a factor of f(x) or not.

Create a polynomial function to design a roller coaster ride. It must start on the ground (0,0) and end (4,0) since the ride is 4 minutes long. You must at least have 2 real zeros where 1 must be double ( )^2, 1 must be triple ( )^3 and it must have 2 imaginary zeros. It has to go underground at least once and the height must be within this range; -50 ≤ y ≤ 300 feet. You need to write the equation in factored form and find all zeros that include real and imaginary.

what could be a polynomial with a degree of 5 if its zeros are -2,1, and 4?

List all the zeros of the polynomial function f(x)=x*-2r-6x² +22x – 15 Show all work.

Find all the zeros of the following polynomial function, rewrite it in factored form, and then sketch its graph. ?(?)=2x^3 +5x^2 −32x−80 .

Need it asap. Thank youu! The polynomial function : M(x) = 15x ^ 6 - 2x ^ 3 - 4x ^ 2 + 6x + 8 can be used in estimating the number of milligrams of vitamin C in the bloodstream x hours after 1000 mg of the vitamin has been taken . Find the number of milligrams in the bloodstream at a ) 1 hour ; b ) 2 hours

Use the written statement to construct a polynomial function that represents the required information.A rectangle is twice as long as it is wide. Squares with sides measuring 3 feet are cut out from each corner. Then the sides are folded up to make an open box. Express the volume V of the box as a function of the width x, where V is measured in square feet. V(x) =