3. 3x2- 11x - 20 = 0

Create a polynomial that has the following characteristics: 1. Degree of 4 2. One fractional zero with a multiplicity of 1 3. Two imaginary zeros Once you have worked this out, write the polynomial in factored form and then in general form (multiplied out). Answer both polynomials in the text box. Be sure to submit your work for this problem..showing the factors and then how you worked that out to get your general form.

Please help me with this problem

A fourth degree polynomial has -2, -3, 2i, -2i as it’s zeros. Write the polynomial as a product of linear factors. What is the polynomial in expanded form ?

What are three real-world polynomial applications and how do they impact society?

Here is an example of the question. I need to find the polynomial expression that represents the total area of the table. The answer I got was 3(2x+3)(x-2) and it’s incorrect. I posted a question previously and it was rejected saying the question was incomplete. I’m trying to understand what I did wrong. I know it’s states that the table is divided into three sections so I would multiply 3 to 2x+3 right? I’m so concerned please help.

for a certain company, the cost for producing x items is 35x + 300 and the revenue for selling x items is 75x - 0.5x^2. I cant figure out the quadratic polynomial expression? I do not know how to find the two values that will create a profit of 300 dollars? I have no idea if the company will make a profit of 15,000 dollars?

Algebra Question

In my precalculus class we are learning how to do long and synthetic division of polynomials by hand. I am struggling with a particular problem because I cannot find an example that divides a polynomial by something more complex than x+a.    I'm working with: (6x^4 -3x^3 +29x^2) ÷ (3x^2 +13)   If you could give me an example of this solved by hand that I could use for reference for solving other similar problems I would be very appreciative.

Part A: Create a fourth degree polynomial with three terms in standard form. How do you know it is in standard form?   Part B : Explain the closure property as it relates to addition of polynomials. Give an example.