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Algebra 17 Online
OpenStudy (brodybarnes35):

A polynomial has been factored, as shown below: f(x) = (x − 3)(x + 8)(x − 11) What are the zeros of the polynomial? 3, 8, 11 3, −8, 11 −3, 8, −11 −3, 3, −8, 8, −11, 11 FAN AND MEDAL PLZ HELP

Vocaloid (vocaloid):

split the function into three pieces: (x-3) = 0 (x+8) = 0 (x-11) = 0 solve for x

OpenStudy (brodybarnes35):

i dont know how to do that at all...

Vocaloid (vocaloid):

(x-3) = 0 what is x?

OpenStudy (brodybarnes35):

@pooja195 @willsgirl16 @Mehek14 @mathsterman

OpenStudy (brodybarnes35):

sorry um x = 3? right

Vocaloid (vocaloid):

yes, now keep going with the other two

Vocaloid (vocaloid):

(x+8) = 0 x = ?

OpenStudy (brodybarnes35):

x= 11 x = -8?

Vocaloid (vocaloid):

yup, so those are your zeros x = 3, x = 11, x = -8

OpenStudy (brodybarnes35):

WOW THANKS A LOT WOOHOO DIDNT KNOW IT WAS THAT EASY CAN U HELP WITH MORE???

Vocaloid (vocaloid):

sure I guess

OpenStudy (brodybarnes35):

What are the factors of 3x2 + 23x − 8? (3x − 4)(x + 2) (3x − 2)(x + 4) (3x − 8)(x + 1) (3x − 1)(x + 8)

OpenStudy (brodybarnes35):

@Vocaloid

OpenStudy (brodybarnes35):

do u know???

OpenStudy (brodybarnes35):

theres two more if u dont know this one lol :))))

Vocaloid (vocaloid):

use foil method to expand each one

OpenStudy (brodybarnes35):

idk how to do that...

OpenStudy (brodybarnes35):

can we come back and u explain later?

OpenStudy (brodybarnes35):

i have moere

OpenStudy (brodybarnes35):

more*

Vocaloid (vocaloid):

sure I guess

OpenStudy (brodybarnes35):

Factor the GCF: −6m2 + 18m − 36. −6(m2 − 3m + 6) −1(6m2 − 18m + 36) −6m(m2 − 3m + 6) −6(m2 + 3m − 6) can u just give the answer then explain for both im in the middle of a lesson and its about to end lol :))

Vocaloid (vocaloid):

hint: the greatest common factor is 6, so we divide each term by 6 and write 6 outside

Vocaloid (vocaloid):

we can also factor out -1, which reverses each of the signs inside the parentheses

OpenStudy (brodybarnes35):

so witch one are you on? im leaning towards c

OpenStudy (brodybarnes35):

@vocaloid

Vocaloid (vocaloid):

it's not c you can't factor out m since not every term has m in it (36 doesn't have m)

OpenStudy (brodybarnes35):

b!

Vocaloid (vocaloid):

like I said before... the GCF is -6 which goes on the outside of the parentheses... then we reverse the signs

OpenStudy (brodybarnes35):

ok so witch one???

OpenStudy (brodybarnes35):

nonono its A!!! @vocaloid

OpenStudy (brodybarnes35):

i divided all of em

Vocaloid (vocaloid):

right...

OpenStudy (brodybarnes35):

What are the factors of 3x2 + 23x − 8? (3x − 4)(x + 2) (3x − 2)(x + 4) (3x − 8)(x + 1) (3x − 1)(x + 8) this one? @vocaloid

Vocaloid (vocaloid):

multiply each of the answer choices out to see which one matches the original hint: (A-B)(C+D) = A*C + A*D - B*C - B*D

Vocaloid (vocaloid):

so, using our first answer choice as an example... (A-B)(C+D) = A*C + A*D - B*C - B*D (3x − 4)(x + 2) = (3x)(x) + 2(3x) - 4*x - 8 = 3x^2 + 2x - 8 which does NOT match the original so we keep going

OpenStudy (brodybarnes35):

ok so its not a.. how do u find like the a*c and etc..?

Vocaloid (vocaloid):

you match up the numbers....

Vocaloid (vocaloid):

compare: (A-B)(C+D) = (3x − 4)(x + 2)

Vocaloid (vocaloid):

A = 3x, B = 4, C = x, and so on...

Vocaloid (vocaloid):

|dw:1439768575867:dw|

OpenStudy (brodybarnes35):

ahhh ok ill try one second thanks

OpenStudy (brodybarnes35):

4x + d)(4x -6) ????? @Vocaloid

Vocaloid (vocaloid):

I'm not sure where you're getting those numbers...

Vocaloid (vocaloid):

(3x-2)(x+4) = (A-B)(C+D)

OpenStudy (brodybarnes35):

ohhhh

Vocaloid (vocaloid):

first tell me what A, B, C, and D are

OpenStudy (brodybarnes35):

a= 3 b = -2 c = x d = 4?

OpenStudy (brodybarnes35):

am i right

Vocaloid (vocaloid):

check A and B again

OpenStudy (brodybarnes35):

I dont have any time can u just tell me and explain because im getting really confused

OpenStudy (brodybarnes35):

please please please

Vocaloid (vocaloid):

|dw:1439769146987:dw|

Vocaloid (vocaloid):

|dw:1439769170709:dw|

OpenStudy (brodybarnes35):

THANK YOU SO MUCH OMG YOU'RE A LIFE SAVER HOLY CRAP

Vocaloid (vocaloid):

|dw:1439769186312:dw|

Vocaloid (vocaloid):

C = x, D = 4

Vocaloid (vocaloid):

now use our formula...

Vocaloid (vocaloid):

(A-B)(C+D) = A*C + A*D - B*C - B*D

OpenStudy (brodybarnes35):

OH OK 4x + 12 and -2x - 8???

OpenStudy (brodybarnes35):

is that right?

OpenStudy (brodybarnes35):

i got it wrong didnt i :C

OpenStudy (brodybarnes35):

plz just tell me the answer im horrible at this... @Vocaloid

OpenStudy (brodybarnes35):

What are the factors of 3x2 + 23x − 8? (3x − 4)(x + 2) (3x − 2)(x + 4) (3x − 8)(x + 1) (3x − 1)(x + 8) @willsgirl16 help meh

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