Question

8a^3+10a^2+3a

Answer 1

factor out the 'a' first, can you ?

Answer 2

4a^2

Answer 3

wait...

Answer 4

2a^2

Answer 5

?

Answer 6

i mean 8a^3+10a^2+3a
since 'a' is common to all terms, i factor it out as
a (8a^2 +10a +3 )
got this ?

Answer 7

okay

Answer 8

now (8a^2 +10a +3 ) is quadratic
have you ever factored a quadratic ?

Answer 9

no..

Answer 10

2a(4a+5)(a+3)???

Answer 11

is that one of your choices ? you just guessing it ?

Answer 12

I don't know how to do this crap >:( it's irritating me..

Answer 13

can you find 2 numbers whose sum is 10 and product is 24 ?

Answer 14

why does the product have to be 24?

Answer 15

because in
\(ax^2+bx+c\)
the sum have to be = 'b'
and product = 'ac'

Answer 16

12 and 2 are 24...but the sum isn't 10 unless the 2 is negative..

Answer 17

wait no

Answer 18

try other 2 numbers ?

Answer 19

well that's awesome I can't think..uhm..6 and 4?

Answer 20

correct!

Answer 21

so, we split 10x as 4x+6x
8x^2 +4x+6x +10
got this part ?

Answer 22

where did the 3 go?

Answer 23

oops, my bad

Answer 24

8x^2 +4x+6x +3

Answer 25

okay now I got it. haha

Answer 26

so from here I have to break it down right?

Answer 27

yes,
cool, so what can you see common in 8x^2 and 4x ?

Answer 28

so is it 4x(x+1)(6x+3)

Answer 29

4x(x+1) 3(2x+1)

Answer 30

no...
see, 4x is common from 8x^2+4x
so,
8x^2+4x = 4x(2x+1)
got this much ?

Answer 31

oops

Answer 32

okay 4x(2x+1) 3(2x+1)

Answer 33

4x(2x+1) +3(2x+1)
now 2x+1 is common!
so,
= (2x+1)(4x+3)
got this?

Answer 34

dang..yeah I got it..

Answer 35

so,
8a^3+10a^2+3a = a(2a+1)(4a+3)
ok ? any doubts?

Answer 36

tons

Answer 37

lol , doubts on this question ? :P

Answer 38

not on this one. lol

Answer 39

cool :)