Question

When factored, the trinomials x2 − 12x + 35 and x2 − 2x − 35 have one binomial factor in common. What is this factor?

x − 7
x + 7
x − 5
x + 5

Answer 1

@sammixboo @sleepyhead314 @freckles @robtobey @rvc @ParthKohli @Michele_Laino

Answer 2

this is just the first one i have quite a few more.

Answer 3

@AlexandervonHumboldt2 @kropot72 @ikram002p @Jaynator495 @Jesstho.-. @just_one_last_goodbye

Answer 4

@Mehek14 @Data_LG2

Answer 5

@inkyvoyd

Answer 6

(5 + -1X)(7 + -1X) = 0 is the first polynomial I have factored.

Answer 7

ok

Answer 8

so now distribute each correct?

Answer 9

the second one is (x+5)(x-7)

Answer 10

No. You look for a common factor they have.

Answer 11

oh alright afterwards I just do this for each until they match a common factor?

Answer 12

Yup. Factor each polynomial out until you find them in the (x+n)(x-n) form, or however they need to be factored, and you will find a common factor for each.

Answer 13

x2 − 12x + 35 = (x-5)(x-7)

Answer 14

Looks like x-7 is your common factor.

Answer 15

oh my gosh I just realized that there are two separate equations ok that makes much more sense now.

Answer 16

and thank you very much.

Answer 17

Haha yeah! :-) You're welcome!

Answer 18

ok well that helped didn't realize that think you can help with another bit different this time but same concept.

Answer 19

Yes.

Answer 20

ok thanks



What is one factor of 20x2 + 6x − 8?

2x − 1
4x + 2
5x − 4
10x − 1
I was thinking that I can factor by two each? although that wouldn't work for the second half.

Answer 21

Well, We want to have a factor that can go into 20, 6, and 8. A does this, B does this, C and D do not.

Answer 22

So that helps eliminate half our answers.

Answer 23

Do you understand what I mean by that?

Answer 24

uh so that factor would be 2? and I am not sure about the second half with the minus. all i know is that they all factor by two.

Answer 25

That's true. Correct. Well I can figure that out for you if you want it.

Answer 26

( 2x − 1)(10x+8)
20x^2+16x-10x-8. Does this equal the equation?

Answer 27

yes I would like to learn it, im not sure why it is left over. Please explain.

Answer 28

\[20x ^{2}+6x-8\]

Answer 29

hmm :o i see it now.

Answer 30

Yeah!

Answer 31

See why it isn't D either?

Answer 32

Because we need 10x+1. Not 10x-1.

Answer 33

I just did the factor concept to find our first factor.

Answer 34

OH i was about t say I was confused because i thought the 20 divided by 2 becomes 10 but if it needs to + sign I guess that makes sense... during any of this do I have to flip signs?

Answer 35

No.. the only time I know about flipping signs is with inequalities, when you divide/multiply with negative numbers.

Answer 36

But remember 10/6 and 10/4 doesn't give whole numbers.

Answer 37

ahhhh so since this needs a + sign does this meanyour left with 4x + 2?

Answer 38

No, your answer is A.

Answer 39

yeah thats what i was confused about because the 10 feeds a decimal.

Answer 40

:O please explain im lost.

Answer 41

Remember the factor of \[20x ^{2}+6x-8=(2x-1)(10x+8)\]

Answer 42

2 goes into 20, 6, and 8 in such a good manner. 4 only goes into 20 and 8.

Answer 43

And our second factor won't be (10x+8), or we would get a different polynomial

Answer 44

ahah missed that part.

Answer 45

That's why 2x-1 works so well.

Answer 46

Yeah! They tried getting you with answer choice D.

Answer 47

It's their trick .

Answer 48

I know funny thing is I almost fell for it to then figured I would go on openstudy to check. thanks. I have only a few more mind helping? I might have to pst a new thread though because OS sometimes crashes when the page is to long from the lag.

Answer 49

It's okay, it happens. :-) I would love to help, and go ahead and start a new thread and mention me in it.

Answer 50

While you do that, I will grab a bite to eat.