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Mathematics 8 Online
Nicole:

http://prntscr.com/lvrxck

Nicole:

@Vocaloid

Vocaloid:

try factoring the denominators of choices B and C

Nicole:

Can you show me one of them and I do the other?

Vocaloid:

you should look for the answer choice that makes the denominator 0 when you plug in either x = 2 or x = 4

Vocaloid:

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

Nicole:

Choice B: (x+2)(x+4) Choice C: (x-4)(x-2)

Nicole:

thats what comes out when you factor the denominators

Vocaloid:

good so which choice makes the denominator 0 for x = 2 and x = 4?

Nicole:

wait so we plug in

Nicole:

so like (2+2)(4+4)

Nicole:

and (2-4)(4-2)

Vocaloid:

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

Vocaloid:

(x+2)(x+4) ---> if x = 2 ---> (2+2)(4+2) if x = 4 ---> (4+2)(4+4)

Vocaloid:

same logic w/ choice C

Nicole:

(x-4)(x-2) ---> if x = 2 ---> (2-4)(2-2) if x = 4 ---> (4-4)(4-2)

Nicole:

thats choice c^

Nicole:

correct? @Vocaloid

Vocaloid:

yes, so c would be your solution

Nicole:

http://prntscr.com/lvs9sn

Vocaloid:

any ideas? same logic as last time, what value(s) of x make x^2-64 = 0?

Nicole:

D

Vocaloid:

good but there's one more remember that when you square a negative number it becomes positive

Nicole:

so also A?

Vocaloid:

yup good

Nicole:

http://prntscr.com/lvsbhc

Vocaloid:

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

Nicole:

2? I have no idea tbh

Vocaloid:

notice how they are all multiples of 4 and all have at least x^2

Vocaloid:

---> 4x^2

Nicole:

Ohh okay http://prntscr.com/lvse6h

Vocaloid:

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

Nicole:

Thats a lot of work lol

Nicole:

is their another way?

Vocaloid:

no

Nicole:

A: numerator: (x-3)(x+4) Denominator: cant factor

Nicole:

B: numerator: (2a+5b)(2a-5b) denominator: 2a(2a+5b)

Vocaloid:

good, notice anything about choice B?

Nicole:

C: numerator: 3(x+4) denominator: cant factor D: numerator: (4x+3)(x^2+3) denominator: cant factor

Nicole:

B? hm not sure

Vocaloid:

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

Nicole:

Ohh okay http://prntscr.com/lvshuc

Vocaloid:

just need to apply FOIL to the numerator and denominator

Nicole:

can u show me the numerator and I do the denominator?

Vocaloid:

|dw:1545000130045:dw|

Vocaloid:

(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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