Question

what is this 75x3−65x2+10x factored completely

Answer 1

75x^3-65x^2+10x

Answer 2

First think what can all these numbers be divided by?

Answer 3

5

Answer 4

Good and all the numbers have the variable 'x' next to them right? So lets say 5x

Answer 5

So lets factor that out

Answer 6

75/5 = ?
-65/5 = ?
10/5 = ?

Answer 7

its 5x(15x^2-13x+2)

Answer 8

Good

Answer 9

Now what I like to use from here is what is known as the AC method

Answer 10

A= 15
B= -13
C= 2
A*C= ? (When multiplying 15 and 2)
+B= ? (Rewrite 13... but think when using those two numbers above when does it equal -13)

Answer 11

Do you understand that part?

Answer 12

kind of

Answer 13

Okay well in the parentheses we had 15x^2-13x+2 right?
Now in textbooks this is written with letters like this.."ax^2+bx+c"

Answer 14

So you see where I pulled A, B, and C from.
15x^2-13x+2
ax^2+bx+c

Answer 15

so is 15x^2-13x+2 the answer?
:0

Answer 16

No

Answer 17

what it, i can work backwords from the answer at this point and i think understand better

Answer 18

A= 15
B= -13
C= 2
A*C= 30
+B= -13

The two numbers that add to -13 but when multiplied that equal 30 are what?

Answer 19

-10 -3

Answer 20

Okay so when we rewrite the equation what do you get?
15x^2-3x-10x+2
right? Notice I just split up the -13

Answer 21

yess i get that

Answer 22

15x^2-3x-10x+2
So now find the common factors. Take the two first numbers and factor those. Then the last two.

15x^2-3x (Can you factor that?)
-10x+2 (Can you factor that?)

Answer 23

Okay for 15x^2-3x
the greatest number that goes into both of them is what?

Answer 24

3

Answer 25

Good, but lets say 3x since both numbers have at least one 'x'.
15/3 = ?
-3/3 = ?

Answer 26

what is the answer to it? i am really confused and this problem is due in 10 min :/

Answer 27

3x(5x-1)

Then you would factor out -10 and 2

Answer 28

-2(5x-1)

Answer 29

So combining those you would get

3x(5x-1)-2(5x-1)

Answer 30

Now you take the numbers outside of the parentheses and put those together and the inside comes after.

(3x-2)(5x-1)

Answer 31

That is your answer....

Answer 32

is says thast wrong when i type it in

Answer 33

What are you typing it into?

Answer 34

xyz.com im doing homework

Answer 35

xyz homework

Answer 36

Okay what do they say is the answer?

Answer 37

they dont tell you it just says wrong

Answer 38

Okay one sec

Answer 39

kk

Answer 40

Okay common mistake

Answer 41

I'll give you the answer to submit

Answer 42

( 5x - 1 )( 3x - 2 )

Answer 43

thanks you for all the help, sorry i didnt quite catch on to this problem

Answer 44

Does it say that is right?

Answer 45

yea

Answer 46

You know the strange thing is I gave you
(3x-2)(5x-1)
which is actually the same as
(5x-1)(3x-2)
That computer must not know about the Commutative Property

Answer 47

Glad I could help though!