Question

Polynomials,Algebra 2 Help! Could anyone offer me some guidance with my Algebra 2 homework? I got all but two questions figured out and I really cannot afford to get a bad grade!

1. 6x^4 + 2x^3 -6x^2-14x-1 by 3x+1 using long division. Show all your work. Then explain if 3x+1 is a factor of the dividend.

2. Factor f(x)= X^4 +x^3- 8x^2+6x+36 completely. Then skecth the graph.

for number 2, I came up with (x+2)(x+3)(x2-4x+6) ---- -2+/- 2i. But I cannot for the life of my graph it. I tried using synthetic division to find another point. I used 2 for the root and came up with 40? so could -1,2,-2,1, 40,-40 be the points? I am really just terrible at graphing and could use all the help I can get.


I am in NOT looking for someone to do my homework for me. I just need some guidance.

Answer 1

this is as far as I got for number 1

Answer 2

The attachment will help you with the plot requirement.
Plotting is what computers are for.

Answer 3

@robtobey thank you so much:)

Answer 4

Can anyone tell me if I did this correctly. It for question #1 -1. 6x^4 + 2x^3 -6x^2-14x-1 by 3x+1 using long division. Show all your work. Then explain if 3x+1 is a factor of the dividend.