Question

What is the simplified form of the quantity 4 z squared minus 16z plus 15 over the quantity 2 z squared minus 11 z plus 15 ?

Answer 1

@satellite73 @jim_thompson5910

Answer 2

(4z^2-16z+15)/(2z^2-11z+15)

factor both the top and bottom and see if anything cancels out

Answer 3

Those aren't factorable, are they? @CalebBeavers

Answer 4

yep they are. =p

Answer 5

what number goes into 4, 16, and 15 evenly?

Answer 6

This is what ya do.

4z^2-16z+15

take coefficient of z^2 and multiply it by the last number so
4*15=60

now, what two numbers multiply together to give you 60 but add or subtract to give you -16?

Answer 7

idk...

Answer 8

Think about it.
-10*-6=60
-10-6=-16

so

4z^2-6z-10z+15

factor first half then second half

Answer 9

2x(2x-3)-2(2x-3)?

Answer 10

2z(2z-3)-5(2z-3)

Answer 11

so (2z-5)(2z-3)

now factor the bottom

Answer 12

(z-3)(2z-5)?