Question

A polynomial function can be written as (x + 2)(x + 3)(x - 5). What are the x-intercepts of the graph of this function?

(2, 0), (3, 0), (-5, 0)
(-2, 0), (-3, 0), (5, 0)
(2, 0), (3, 0), (5, 0)
(-2, 0), (-3, 0), (-5, 0)

Answer 1

\[x+2=0\iff x=-2\\
x+3=0\iff x=-3\] last one is for you

Answer 2

let me know what you get

Answer 3

im lost :(

Answer 4

really? lets go slow

Answer 5

i suck at math lol...

Answer 6

the \(x\) intercept means the value of \(x\) that makes the expression equal to zero, in other words \[(x + 2)(x + 3)(x - 5)=0\] is what you are trying to solve
is that much clear?

Answer 7

yes thanks

Answer 8

ok then the product of a bunch of numbers can only be zero if one is them is zero
so it will be zero if
\[x+2=0\]

Answer 9

So it would be the first one!

Answer 10

there are three answers , i.e. three numbers that would make t his equal to zero

Answer 11

if you solve
\[x+2=0\] for \(x\), what do you get?

Answer 12

there could only be one answer lol.. and isn't it (2, 0), (3, 0), (-5, 0)?

Answer 13

no it isn't
when i said there are three answers, i mean there are three numbers what would make this equal to zero
i did not mean three of your answer choices

Answer 14

do you know how to solve
\[x+2=0\] for \(x\)? if that is not clear, that is fine, let me know and i will explain

Answer 15

lol I already submitted my assignment! thank you for helping tho