Question

Will medal and fan!!

Factor (please explain as much as you can)
4x^2-22x+12=0

Answer 1

How would you go about dividing 22 by 4?

Answer 2

need help

Answer 3

Actually here is another way so that it is easier. What are numbers that could multiply to 6?

Answer 4

all numbers

Answer 5

3 and 2, 6 and 1

Answer 6

x = -1/2 = -0.500
x = 6

Answer 7

Okay good and what are numbers that when they are multiplied, the sum is 12?

Answer 8

Okay this is where I always get frustrated

Answer 9

6 and 2, 3 and 4

Answer 10

right

Answer 11

here's two answers
x = -1/2 = -0.500
x = 6

Answer 12

my answer

Answer 13

sorry i meant 4 earlier, typo :3 but anywho so now you know the factors:

Factors for 4: 1 & 4, 2 &2
Factors for 12: 1 & 12, 2&6, 3&4

Now we have to try it in different combinations to see if they will work out.

Answer 14

$$\Huge 4x^2-22x+12$$

$$\Huge 2(2x^2-11x+6)$$

$$\Huge 2(2x-?)(x-?)$$

Answer 15

So they have to add 4 and multiply to 12? @stefrheart

Answer 16

Do you understand what I did above?

Answer 17

Look at what skullpatrol did above @studyx3

Answer 18

yes @skullpatrol

Answer 19

Good, now use FOIL with all the possible factors of 6 in the places of the question marks.

Answer 20

okay where did the 6 come from? I'm sorry I'm not very good at this

Answer 21

I FOILed it and got 4x^2-18x+36

Answer 22

These are all the possible combinations you need to FOIL to see if you can find the one that will give you the correct linear term: $$\Huge -11x$$

$$\Huge (2x-1)(x-6)$$
$$\Huge (2x-6)(x-1)$$
$$\Huge (2x-2)(x-3)$$
$$\Huge (2x-3)(x-2)$$

Answer 23

okay I'm beginning to understand now. Thank you so much for your help!!!

Answer 24

Thanks for trying to understand :-)

Answer 25

Please check to see if you have copied the question correctly.