Question

Solve each polynomial inequality. Write the solutions set in interval notation.
x(x-1)(x+4)≤0

Answer 1

do i have to distribute x with (x-1) or x with (x-1)(x+4)

Answer 2

(x-1)(x+4) When you distribute something you distribute it to everything.

Answer 3

you are not distributing x just multiplying x

Answer 4

thanks @JustAStudentLearning
i thought about it but got confused

Answer 5

so u can multiply x with any of the factors

Answer 6

like this (x^2-1)(x^2+4)<0

Answer 7

no @Powerful22

Answer 8

then 2x instead of x^2?

Answer 9

try 2 understand.. take an example 4(5+3) (6+2) den u can multiply 4 wid any of them..

Answer 10

but this is a variable not a number

Answer 11

That's distributing lol you distribute the number outside the parentheses to every number.

Answer 12

It would be (x^2-1)(x^2+4)

Answer 13

@JustAStudentLearning this is multiplication lol

Answer 14

that's what i did

Answer 15

@JustAStudentLearning i think u r confused

Answer 16

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

Answer 17

@SuyashGupta Maybe I'm trying to do a million things at once...lol

Answer 18

ok, question closed, thanks to both of you

Answer 19

(x^2-x)(x+4)<0 or (x-1)(x^2+4x)<0

Answer 20

@JustAStudentLearning okay just replace < with= and x with any number and then try it, you will understand what i m tryin 2 say..