I am having problems with polynomial functions.

f(x)= (x-3)(x+2)(x+4)

2 answers

are you just wanting to multiply them together? if so, just do the first 2 first. FOIL. First, Outside, Inside, Last. F: x*x=x^2. O: x*2=2x. I: -3*x=-3x. L: -3*2=-6. Then you add all of those together. So you get: x^2-x-6. Now you have to multiply the third part. So you have (x+4)(x^2-x-6). So multiply the x through everything, and then the 4 through everything, and then add it all together. So x*x^2=x^3. x*-x=-x^2. x*-6=-6x. 4*x^2=4x^2. 4*-x=-4x. 4*-6=-24. So now you have to add all of these numbers together. So add: x^3 + -x^2 + -6x + 4x^2 + -4x + -24. combine like terms and you should get: x^3 + 3x^2 - 10x - 24 as your final answer. I really hope this helped!!!
(x - 3) (x + 2) (x + 4)
Multiply the 1st term in the 1st
parenthesis by each term in the 2nd
parenthesis. Then multiply the 2nd term
in the 1st parenthesis by each term in
2nd parenthesis.

(x^2 + 2x - 3x - ) (x + 4)=
Combine like-terms in 1st parentthesis:
(x^2 -x -6) (x + 4)=
Multiply the 1st term in 1st par. by
each term in 2nd par. Then multiply
2nd term in 1st par. by each term in
2nd par.
x^3 + 4x^2 - x^2 - 4x -6x -24 =
Combine like-terms:
x^3 + 3x^2 - 10x -24.