Question

What is the factored form of x^2 + 6x + 8?
(x + 5)(x + 3)
(x + 4)(x + 2) I think it is this one atm can you check
(x + 7)(x + 1)
(x + 3)(x + 3)

Answer 1

is this a homework problem?? somebody asked the same question

Answer 2

yes it is but i am wanting to see if i got it right

Answer 3

yes you got it right

Answer 4

thanks

Answer 5

what about this one
What is the factored form of x2 – 7x + 12? (1 point)
(x – 5)(x – 3) I think this is it
(x – 6)(x – 1)
(x – 5)(x – 2)
(x – 4)(x – 3)

Answer 6

(x-5)(x-3) = x(x-3) -5(x-3) = x^2 -3x -5x +15 = x^2-8x +15
how can this be equal to x^2-7x+12?

Answer 7

i gave you the principle. try to figure out the pattern in it for every the equation of form(x+a)(x+b)

Answer 8

sorry have not done this before so i am trying to figure it out

Answer 9

remeber that x is real number even though it looks very complicated.. so it has all the property of real number and that means you can do the same operations for it as you do to the real numbers

Answer 10

expand (x+a)(x+b) and you will see what i mean

Answer 11

can you give me a hint
so i can try to get it

Answer 12

well do you see this?
(2+3)(4+6)=(2+3)*4 + (2+3)*6
=2*4+3*4 +2*6+3*6

Answer 13

i am confused

Answer 14

well do you see this?
2*(3+4)=2*3+2*4

Answer 15

what you mean

Answer 16

let's just use this equation..
5(4+6)=5*4+5*6

Answer 17

i am asking that you know that operation
that the equation above holds

Answer 18

i said i don't understand

Answer 19

if you don't understand this 5(4+6)=5*4+5*6, you don't understand your problem

Answer 20

i know that is why i asked for you to help

Answer 21

well ok.
memorize this
a(b+c)=ab+ac

Answer 22

ok

Answer 23

it means when you add b &c and multiply it by a,
you get the same results as a times b plus a times c

Answer 24

a, b, c above are real numbers.. like 1, 2, 3, 4, 1/2, 1/3 .... stuffs

Answer 25

ok

Answer 26

so let's accept that this rule works and comeback to our problem
(x+a)(x+b)
first of all (x+a) is real number right?
so by our rule,
(x+a)(x+b)=(x+a)x+(x+a)b
again,
(x+a)x+(x+a)b=xx+ax+xb+ab
=x^2+ax+bx+ab
=x^2+(a+b)x+ab

Answer 27

i only used the a(b+c)=ab+ac rule.. try to follow it.

Answer 28

ok

Answer 29

so it says,
(x+a)(x+b) equals x^2+(a+b)x+ab

Answer 30

would it be C then??

Answer 31

no no i only used a(b+c)=ab+ac to show you the pattern

Answer 32

the a, b used in (x+a)(x+b) are not same as the a(b+c) ...

Answer 33

it just means random number

Answer 34

every number

Answer 35

ugh i am confused

Answer 36

ok just for get about every thing and
remember a(b+c)=ab+ac

Answer 37

insert a=(x+p) , b=x , c=q in that a(b+c)=ab+ac
would you do that?

Answer 38

what does it tell you

Answer 39

i can't think straight my mind is messed up now i think i fixed to many computers that i can't think right

Answer 40

i am just asking you to plug (x+p), x, q into the a,b,c position is the equation a(b+c)=ab+ac
this is just matching the same picture business

Answer 41

just plug it in!!!

Answer 42

i can't i am not able to think right

Answer 43

ok rest for while. the answer is (x+p)(x+q)=(x+p)x+qx anyways

Answer 44

i am going
my head hurts