Question

What are the x-intercepts of the graph of the function g(x)=x²-4x-12?

Answer 1

x^2 - 4x - 12 = 0
solve for x

Answer 2

do you divide by 2?

Answer 3

or divide by 4 or i mean

Answer 4

no
this can be factored

Answer 5

x^2 - 4x - 12
= x^2 - 6x + 2x - 12

can you continue?

Answer 6

x²-4x-12?

Answer 7

no you need to factor this by grouping
factor x^2 - 6x then 2x - 12

Answer 8

i'll do the first part for you
x²-4x-12
= x^2 - 6x + 2x - 12
= x(x- 6) +

Answer 9

then divide them? idk

Answer 10

now fact = 2x - 12

Answer 11

* factor

Answer 12

x(2x-12)?

Answer 13

no - take the 2 out

Answer 14

x(x-12)

Answer 15

no the common factor of 2x and 12 is 2
so its 2(x - 6)

Answer 16

so it's (-6,0) and (2,0)?

Answer 17

so going back we have

x(x - 6) + 2(x - 6)

note that the 2 parenthese cantain the same thing

Answer 18

we can then simplify it to (x-6)(x + 2)
now we put this equal to zero to find the intercepts on x-axis

(x - 6)(x + 2) = 0

so x = 6 or x = -2

giving the points of interception (6,0) and (-2,0)

Answer 19

ok?

Answer 20

yeah, thank you