Question

Factor Completely, 3y^2 +7y + 4

Answer 1

(3y+4)(y+1)

Answer 2

(3y + 4) (y + 1)

Answer 3

do u understand y this is the answe?

Answer 4

no i dont i cant figure out how to do these

Answer 5

ok so there is a method

Answer 6

First see if you can factor but here you can't so we go to the second step

Answer 7

ax^2+bx+c=y

Answer 8

Multiply a*c
3*4=12

Answer 9

so what number when you multiply it equals 12 but when you add it equals b-7?

Answer 10

So u tell me the answer

Answer 11

What two numbers when you multiply them equals 12 and when you add them equals 7

Answer 12

4 and 3

Answer 13

yup

Answer 14

so now what u wld do is divide the bx into two
7x becomes 3x+4x

Answer 15

3x+4x=7x so it isn't a big deal to separate them

Answer 16

So we rewrite the answer question as:
3y^2+3y+4y+4

Answer 17

Now we separate the equations into two and i cant explain you this steo since i dont get the logic behind it myself

Answer 18

(3y^2+3y)(4y+4)

Answer 19

Now factor each bracket
3y(y+1)+4(y+1)

Answer 20

did you get he steps so far?

Answer 21

oh u are long gone so i will ust finish off what i was saying

Answer 22

no im still her just trying to put it all together

Answer 23

then since 3y and 4 are multiplied by (y+1) we can join them together so
(3y+4)(y+1)

Answer 24

ok basically you gotta memorize the steps and then it becomes second nature