1. ## Devision!

Devide using polynomial long divison.

P.S I do NOT know algebra! So I wouldn't know how to do this at all.

May it please be completed by tomorrow? Thanks

(3x^2 + 11x + 1) / ( x - 3)

(x^3 - 3x^3 + x - 8) / (x - 1)

(10x + 27^2 + 14x + 5) / (x^2 + 2x)

Devode using syntheic division

(x^3 - 14x + 8) / (x + 4)

(3x^2 - 10x) / (x - 6)

(x^4 - 6x^3 - 40x + 33) / ( x - 7)

Factor the polynomial given that f(k) = 0

f(x) = x^3 - 3x^2 - 16 - 12; k = 6

f(x) = x^3 - 11x^2 + 14x + 80; k = 8

Given one zero of the polynomial function, find the other zeros.

f(x) = x^3 + 11x^2 - 150x - 1512; - 14

f(x) = 4x^3 + 9x^2 - 52x + 15; - 5

Thank you very much for taking the time to help me!

2. Originally Posted by John Mandrake

Devide using polynomial long divison.

P.S I do NOT know algebra! So I wouldn't know how to do this at all.

May it please be completed by tomorrow? Thanks

(3x^2 + 11x + 1) / ( x - 3)

(x^3 - 3x^3 + x - 8) / (x - 1)

(10x + 27^2 + 14x + 5) / (x^2 + 2x)

Devode using syntheic division

(x^3 - 14x + 8) / (x + 4)

(3x^2 - 10x) / (x - 6)

(x^4 - 6x^3 - 40x + 33) / ( x - 7)

Factor the polynomial given that f(k) = 0

f(x) = x^3 - 3x^2 - 16 - 12; k = 6

f(x) = x^3 - 11x^2 + 14x + 80; k = 8

Given one zero of the polynomial function, find the other zeros.

f(x) = x^3 + 11x^2 - 150x - 1512; - 14

f(x) = 4x^3 + 9x^2 - 52x + 15; - 5

Thank you very much for taking the time to help me!

If you don't know algebra, why are you working on questions like these? And if you don't know algebra, what makes you think you'll understand either the answers or solutions?

3. I will understand the answer.

4. Show us what work you've done and we'll help you out. This looks too much like a test for me, at least, to feel comfortable about just giving you the answers.

-Dan

5. Originally Posted by John Mandrake
Factor the polynomial given that f(k) = 0
f(x) = 4x^3 + 9x^2 - 52x + 15; - 5
John,

I sent you a PM as well. I'm sorry I could not build this in time for your exam, but I think it's still useful for you and others to put this on here now. For your other "non-cubic" equations, I'm working on a lesson over the next few days. For now, I just built something for you that can answer the cubic questions you asked in the form $ax^3 + bx^2 + cx + d$.

Go here:

Soving Cubic Equations

Enter your coefficients and press the 2nd button that says "Guess 1 Root-Synthetic Division/Quadratic Method"

For the 4 problems you entered, it shows you the synthetic division. However, my calculator uses a root ranking system, so the other 3 problems you asked about for cubics, my calculator finds that root, but uses a different root to divide. Try the equation above I quoted you on, that will show you how to work this. For your other 3 cubic equations, feel free to use the calculator, but first, try to match what it does before you use it. It uses a different root to divide for the synthetic division then your question asks, but I think that is a good check for you to try to see if you can do the synthetic division to get to the root your question asks you for!

Scroll down a bit and you will see the synthetic division. It starts at the sentence that says "Now Let's perform synthetic division using Ruffini's Rule to check for other roots:" After synthetic division completes, the calculator uses the quadratic rule to solve for the remaining 2 roots.

Also, a nice writeup about Ruffini's rule which my calculator uses is seen here ---> Ruffini's rule - Wikipedia, the free encyclopedia

Let me know if you have questions.