Question

What are the zero(s) of the function f(x) = the quantity of 5 x squared minus 25 x, all over x?
help please?

Answer 1

choices are
x=5
x=0 and x=5
x=0
x=-5

Answer 2

set the numerator equal to zero and solve for x

Answer 3

i don't know how, can you please help me? @sleepyhead314

Answer 4

5x^2 - 25x = 0
factor out a 5x
can you do that? :)

Answer 5

i feel so stupid /.\ but what do you mean by factor out? it wasnt in the lesson :x @sleepyhead314

Answer 6

the opposite of distributive property
like for example if I had 5x + 5
I would factor out a 5 and get 5(x+1)

Answer 7

Okay so it would be 5(x+2) or 5(x+1)^2 ;o ? @sleepyhead314

Answer 8

5x^2 - 25x
(5x)x - (5x)5
(5x)(x - 5)

Answer 9

how'd you go straight from (5x)x - (5x)5 to (5x)(x - 5)
im sorry im not understanding

Answer 10

distributive property
a(b+c) = ab + ac
I going ab + ac = a(b+c)

Answer 11

okay i see now. then once you do that what's the next step ? ;o

Answer 12

set each part of it equal to zero and solve
(5x)(x - 5) = 0

so 5x = 0 and x-5 = 0

Answer 13

does that mean the answer is 0 then? o-o

Answer 14

one of them
I think there are two answers :3

Answer 15

x=5 and x=0? ;o

Answer 16

yes! :)

Answer 17

thank you so much <3!

Answer 18

glad I could help :)