which of the following are most likely factors of the the function graph below
A. (x-3)(x+4)
B. (x+3)(x-4)
C. (x+2)(x-4)
D. (x)(x+12)

Question

which of the following are most likely factors of the the function graph below 
A. (x-3)(x+4)
B. (x+3)(x-4)
C. (x+2)(x-4)
D. (x)(x+12)

anonymous · Answer

attachment

agent0smith · Answer

What are the zeroes (x-intercepts) on the graph?

anonymous · Answer

is it -3 and 4?

agent0smith · Answer

Correct. But remember you have to change the signs when you put them into factors like so (x-a)(x-b)

anonymous · Answer

so the correct answer would be A ? right ?

agent0smith · Answer

Your roots were -3 and 4. Read what i said above and decide if   (x-3)(x+4) is correct.

agent0smith · Answer

If your roots are a and b, your factored form would be (x-a)(x-b).

 If your roots are -a and -b, factored would be (x+a)(x+b).

anonymous · Answer

so if its -3 and 4 then it would be (x+3)(x-4) ?

anonymous · Answer

so its the total opposite

agent0smith · Answer

Yes :) you always have to change the signs of the roots when making the factored form.

Since if x=-3, then... x+3 = 0 which is your factor.

anonymous · Answer

oh! okay now i totally get it thank you so much :)