FACTOR EXPRESSIONS

Question

 

20N² + 47N +24

Answer 1

20N²+47N+24

20*24=2*2*5*2*2*2*3=(2*2*2*2*2)*(3*5)=32*15 and 32+15=47

factor

(4N    )(5N   )

(4N+3)(5N+8)

 you can also factor 20 and 24 in different ways...

20=4*5 and 24=3*8

combine the 4 and 8 for 4*8=32

combine the 5 and 3 for 5*3=15

32+15=47

now continue from here

Answer 2

 

20N² + 47N + 24 = 0

 

20 = 2*2*5

24 = 2*2*2*3

 

Noticing 47 is odd, we'll need to have a 5 & 3 in there (b/c 5 & 3 are the only numbers that will give us an odd number which will add to an even to get us to 47 for the coefficient of N):

 

(5N + 8)(4N + 3)