Question

Determine the factors of 15x2 + 3xy + 10x + 2y.

(3x + 2)(5x + y)
(5x + y)(2x + 3)
(3x + y)(5x + 2)
(5x + 3)(2x + y)

Answer 1

@satellite73

Answer 2

@vmac2122

Answer 3

HI!!

Answer 4

Hello :)

Answer 5

we can multiply each one out and see what works, or perhaps we can work smarter

Answer 6

you see how the last term is \(2y\) right?

Answer 7

That's my problem, I get so confused multiplying everything out :( and yeah

Answer 8

that gets rid if b and d
do you see why?

Answer 9

Yeah, that's actually a really cool loophole

Answer 10

\[ (5x + y)(2x + 3)\] last term will be \(3y\) so that is no good

Answer 11

same here \[ (5x + 3)(2x + y)\]

Answer 12

I figured it out, it's A

Answer 13

so we can try the first one \[ (3x + 2)(5x + y)\]

Answer 14

yeah that looks good

Answer 15

Yayyyyy I got it! :)

Answer 16

\[\huge \color\magenta\heartsuit\]

Answer 17

Thank youuuu!

Answer 18

you are quite welcome
got more?

Answer 19

A few, yes hold on

Answer 20

kk

Answer 21

Graph of a cubic polynomial that falls to the left and rises to the right with graph touching x axis at negative 1 and x intercept at 1

Which of the following functions best represents the graph?

f(x) = x3 + x2 − 4x − 4
f(x) = x3 + x2 − x − 1
f(x) = x3 + 3x2 − 4x − 12
f(x) = x3 + 2x2 − 2x − 1

Answer 22

ok we can do this

Answer 23

you see how it only touches where \(x=-1\)?

Answer 24

Yeah, and where x=1

Answer 25

actually there is a difference,
where \(x=1\) it CROSSES the axis, at \(x=-1\) it comes up, touches it, but does not cross, goes back down

Answer 26

so it has to zeros, one at \(x=-1\) and one at \(x=1\)
because it crosses at \(x=1\) one factor is \((x-1)\)

Answer 27

because it touches at \(x=-1\) then the factor looks like \((x+1)^2\)

Answer 28

lol "has two zeros" i meant

Answer 29

final job is to multiply
\[(x+1)^2(x-1)\] to see what we get
i would cheat!!

Answer 30

http://www.wolframalpha.com/input/?i=%28x%2B1%29%5E2%28x-1%29

Answer 31

looks like \[x^3+x^2-x-1\] is a winner
is that a choice?

Answer 32

Yup :) Wolfram Alpha has been helping me a lot this unit lol

Answer 33

might as well use it instead of making an algebra mistake
i do!

Answer 34

Haha! I have just one more question and them I'm done lol

Answer 35

Which shows 602 − 402 being evaluated using the difference of squares method?

602 − 402 = (3600 + 1600)(3600 − 1600) = 10,400,000
602 − 402 = 3600 − 1600 = 2,000
602 − 402 = (60 − 40)2 = 202 = 400
602 − 402 = (60 + 40)(60 − 40) = (100)(20) = 2,000

Answer 36

The twos are squares

Answer 37

\[60^2-40^2\]?

Answer 38

Wait nvm I found the answer haha

Answer 39

D right?

Answer 40

Yup xD

Answer 41

I got an 88% :D

Answer 42

that it?

Answer 43

then time for a tune
https://www.youtube.com/watch?v=smdNetoPFV0

Answer 44

I LOVE THAT SONG!!!!!

Answer 45

I love that whole band, actually!

Answer 46

lol thought so !!

Answer 47

How'd you know? XD

Answer 48

american psychic

Answer 49

*clapping emoji*

Answer 50

\[\color\red\heartsuit\]

Answer 51

Unfortunately I have to go to bed now :( I'm extremely tired and I'm pretty sure I have to get up early to keep working on assignments. Will you be on in the morning?

Answer 52

i can be here at about 9 or 9:30
earlier probably not

Answer 53

tag me if you like, i will try to help if i can!

Answer 54

my bed time too

Answer 55

That's a good time for me :) alrighty, thanks so much for helping me! good night c:

Answer 56

gnight c: