Question

5a^2+23a+12 factor this, show work, i dont know how to do this

Answer 1

23=20+3
right?

Answer 2

do you know how to complete the square or do you know the quadratic formula?

Answer 3

20*3=60

Answer 4

quadratic formula

Answer 5

5a^2+20a+3a+12
right?

Answer 6

i guess, why did u do the 20a+3a?

Answer 7

@shamin I think you should start at the beginning to show why use 20 and 3

Answer 8

see

Answer 9

@shamim

Answer 10

20a+3a=23a
right?

Answer 11

i got -16.2 and -29.5 from using the quadratic formula

Answer 12

20a*3a=60a^2

Answer 13

nd 5a^2*12=60a^2

Answer 14

@splatter6 @shamim is going through how to factor follow along for a minute @shamim please go through all the steps

Answer 15

ok

Answer 16

understood?

Answer 17

no, i dont understand y u have a 60

Answer 18

60a^2=60a^2
right?

Answer 19

@shamim please wait
@splatter6

Answer 20

need to show u a drawing

Answer 21

bt i m now frm an android phone. so not possible to draw

Answer 22

sorry

Answer 23

it's fine, i'll just ask my teacher

Answer 24

which grade u r

Answer 25

im 11th

Answer 26

r u frm usa?

Answer 27

yeah

Answer 28

ok

Answer 29

y

Answer 30

do u know middle term for factorisation?

Answer 31

no

Answer 32

when you have a quadratic in the form ax^2 + bx + c to factor
find the product a*c and then the factors of that with the combination such that the sum will be the coefficient of x namely b
for this problem a = 5 b = 23 an d c = 12
so 5*12 = 60
what are the factors of 60 that when you add them the sum is 23
factors of 60 eg 6 and 10 , 15 and 4, 5 and 12 and the one used 20 and 3
now you have 5x^2 + 20x + 3x + 12 = 0
5x( x + 4) + 3( x + 4) = 0
@shamim will continue

Answer 33

i used it

Answer 34

ok