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@Vocaloid
try factoring the denominators of choices B and C
Can you show me one of them and I do the other?
you should look for the answer choice that makes the denominator 0 when you plug in either x = 2 or x = 4
for choice B try to find two integers that multiply to 8 and add to 6 for choice C try to find two integers that multiply to 8 and add to -6
Choice B: (x+2)(x+4) Choice C: (x-4)(x-2)
thats what comes out when you factor the denominators
good so which choice makes the denominator 0 for x = 2 and x = 4?
wait so we plug in
so like (2+2)(4+4)
and (2-4)(4-2)
no, you should choose the same x value at a time so start by plugging in x = 2 for all x's, then after that start over and plug in x = 4
(x+2)(x+4) ---> if x = 2 ---> (2+2)(4+2) if x = 4 ---> (4+2)(4+4)
same logic w/ choice C
(x-4)(x-2) ---> if x = 2 ---> (2-4)(2-2) if x = 4 ---> (4-4)(4-2)
thats choice c^
correct? @Vocaloid
yes, so c would be your solution
any ideas? same logic as last time, what value(s) of x make x^2-64 = 0?
D
good but there's one more remember that when you square a negative number it becomes positive
so also A?
yup good
hard to explain but try to choose the common factor shared by 24x^2, 12x^3, AND 4x^2y notice how they are all multiples of 4 and all have at least x^2
2? I have no idea tbh
notice how they are all multiples of 4 and all have at least x^2
---> 4x^2
for each one try factoring the numerator and denominator. the correct solution should have a way for you to cross out something that's in both the numerator and denominator
Thats a lot of work lol
is their another way?
no
A: numerator: (x-3)(x+4) Denominator: cant factor
B: numerator: (2a+5b)(2a-5b) denominator: 2a(2a+5b)
good, notice anything about choice B?
C: numerator: 3(x+4) denominator: cant factor D: numerator: (4x+3)(x^2+3) denominator: cant factor
B? hm not sure
for choice B notice how the numerator and denominator both have (2a+5b) in it, meaning you could cross them out making B the solution for this problem
just need to apply FOIL to the numerator and denominator
can u show me the numerator and I do the denominator?
|dw:1545000130045:dw|
(x+4)(x-4) ----> first: x*4 outer: -4*x inner: 4*x last: 4(-4) then you'd add them up
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