Question

(x-5)^2(x+2)<0

Answer 1

could you do this if it was an equality? = instead of < ?

Answer 2

i am confused on the quantity x-5 being squared....

Answer 3

do i foil that out, and then multiply it all by the quantity x+2?

Answer 4

yes, exactly (x - 5)(x - 5)(x + 2)
do it in any order you like

Answer 5

ai yi yi

Answer 6

one step at a time, and it's all good and easy to do

Answer 7

so would it be x^3-10x^2+50<0?

Answer 8

not quite... what is (x - 5)^2?

Answer 9

x^2-10x+25....

Answer 10

so (x^2 - 10x + 25)(x + 2)
x^3 - 10x^2 + 25x +2x^2 - 20x + 50

Answer 11

ahhhhhhhh i forgot the 2

Answer 12

but you know, none of this was necessary, although it's always good practice
you treat inequalities almost the same as equalities

Answer 13

oh jeez....

Answer 14

i was about to ask what am i supposed to do with it now....

Answer 15

when is it 0?

Answer 16

-2?

Answer 17

yes

Answer 18

and 5 and 5 but they don't matter here

Answer 19

so i dont do anything with the other part?

Answer 20

x < -2 (which sort of implies x<5)

Answer 21

how clever