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)

Would this be A?

Answer 1

@welshfella

Answer 2

@.Sam. @MARC_D @ganeshie8

Answer 3

the x intercepts occur when f(x) = 0
so we can write

(x - 2)(x - 3)(x + 5) = 0

what are the values of x which satisfy the above?

Answer 4

Note that if any of these factors are equal to 0 than the whole function equals zero.

Answer 5

So what value of x makes x - 2= 0?

Answer 6

-2

Answer 7

no
for x - 2 to be = 0
x must be 2

(2-2=0)

Answer 8

now you need to find what value of x in (x - 3) and also (x + 5) make them = 0.

Answer 9

Yea sorry I am stupid XD

Answer 10

Ok, so it is A?

Answer 11

Thats what I thought before, just checking and kinda wanted an explanation. Thanks!

Answer 12

x + 3 = 0 so x = 3
x + 5 = 0 so x = -5

Answer 13

as -5 + 5 = 0

Answer 14

yes A is correct

Answer 15

Thank you!

Answer 16

yw