Question

find the zeros: x^4 - 4x^3 -7x^2 + 22x + 24

Answer 1

Big question: how have y ou done this before? Which method or methods have you used?

Could you find the zeros of y=x^2+5x+4, so as to start with an easier example?

Answer 2

Going back to the original problem: factoring the constant term (+24) produces the following possible factors: plus or minus 1, 2, 3, 4, 6, 8 12, 24.

Answer 3

Starting with a list like that, what would be your next move? (There are multiple ways to solve this problem.)

Answer 4

yes i could find that first problem one adn it makes sense i think next i could use synthetic division set up to find the other zeros

Answer 5

I'm so glad you know synth. div. That's precisely the method I would use.

Answer 6

awesome thanks i was stuck on how to start

Answer 7

Just let me know if you need further guidance with this problem. Sounds as though you have it under good control. :)

Answer 8

Wow! Lot of trial and error involved here. Have you found one root yet?

Answer 9

yeah i found out that 3 was the factor that worked and used those answers to write a polynomial and got x^3 + x^2 -10x - 8 and tried to solve by using factoring by grouping, but it didnt work out