Question

a function is shown below: f(x)=x^3+4x^2-x-4
part a.) what are the factors of f(x)
part b.) what are the zeros of f(x)
part c.) what are the steps you would follow to graph f(x) describe the end behavior of the graph.

Answer 1

a.) Factors of f(x)= 1, 2, and 4

Answer 2

hint: factor by grouping to get

x^3+4x^2-x-4

(x^3+4x^2)+(-x-4)

x^2(x+4)-1(x+4)

(x^2-1)(x+4)

(x+1)(x-1)(x+4)

Answer 3

huh?

Answer 4

are you familiar with factoring by grouping?

Answer 5

nope

Answer 6

have a look at this page

http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut27_gcf.htm

and look for the section titled "Factoring a Polynomial with Four Terms by Grouping"

Answer 7

this page explains it as well

http://www.purplemath.com/modules/simpfact3.htm

Answer 8

so the answer for part a is x^3+4x^2-x-4

(x^3+4x^2)+(-x-4)

x^2(x+4)-1(x+4)

(x^2-1)(x+4)

(x+1)(x-1)(x+4)

Answer 9

those are the steps leading to the answer

Answer 10

the factors must then be listed

Answer 11

Factors of f(x)= 1, 2, and 4?

Answer 12

no

Answer 13

im sorry its just i need to be done with this at 7 so im kinda in a hurry

Answer 14

i only have ten minutes left

Answer 15

you can't come back to it?

Answer 16

nope i have been working on this assignment for the last 5 hours and this is my last question. i have to go out with my family at 7 and i wont have time to finish it tonight and its due tommorow

Answer 17

well I can't just give out answers since that doesn't help you at all. I would help you along step by step, but there's not much time left.

However, with the limited time left, I can say that if you have something like (x+9)(x-3), then the factors are x+9 and x-3.

If x+9 = 0, then x = -9 is one root or zero. This value would make the entire expression equal to zero.

Keep in mind that these are examples and not the answer.

Answer 18

ok thanks