Question

x^3 + 3x^2 – 10x – 24 how do you factor this an you show me how

Answer 1

do you know the rational roots theorem?

Answer 2

no

Answer 3

The key is to find your first factor, by trying like 1 or -1 or somethig simple like that and then facoring what is left behind.

Answer 4

anxn + an–1xn–1 + ··· + a2x2 + a1x + a0 = 0

Answer 5

easy

Answer 6

let me work on it by finding the first root, then i will show you how to do it and why/how it works so well, ok?

Answer 7

@ArmyBoy97 I do not think that is easy at all.

Answer 8

ok thnx :3 i'm new on here you guys are so nice

Answer 9

lol for me it is i am in college math classes and im only 16

Answer 10

rational roots is more the way to go with early math students...trust me I teach them for a job. HS math and alll...

Answer 11

cool

Answer 12

my math professor lives by me so i can always ask him for help lol

Answer 13

rational roots theorem requires that you find the first root by picking a number that goes into both the last coefficient, -24, and the first, 1. I started with a 1 and did synthetic division, but 1 and -1 didn't work so I tried 2 and -2. -2 worked. Are you familiar with synthetic division?

Answer 14

yes i am

Answer 15

when you do synthetic division, you are looking for a result that will a. give you a 0 remainder, and b. give you a polynomial that is one degreee less than what you started with. SO glad you know S.D.

Answer 16

leet's do it with -2, which is equivalent to (x+2).