Question

What is the simplified form of the quantity y−squared minus y minus 12 over the quantity y−squared plus 8y plus 15?

Answer 1

y^2 - y - 12
----------
y^2 + 8y + 15

Answer 2

y minus 4 over y minus 5
y minus 4 over y plus 5
y plus 4 over y minus 5
y plus 4 over y plus 5
those are the answer choics

Answer 3

factor top and bottom and see if there any common factors

Answer 4

can you factor y^2 - y - 12?

Answer 5

no

Answer 6

i have another question after this

Answer 7

they will look like
(y + a)(y + b)

where the product AB will = -12 and a + b will equal -1

Answer 8

can you think of 2 numbers whose product is -12?

Answer 9

3 and 4

Answer 10

3nearl right 3 * 4 = 12 but we want -12

Answer 11

-4 and 3

Answer 12

* nearly

Answer 13

ok that might be the ones we want
do they add up to -1?

Answer 14

yeah is it the second optiion

Answer 15

we haven't got that far yet we need to factor the denominator next.
yes a = 3 and b = -4
so the factors of the top of the fraction are
(x + 3)(x - 4)

now can you factor the denominator by the same method?

Answer 16

3 and 5

Answer 17

its the second option

Answer 18

right
so we have
(y + 3)(y - 4)
----------
(y + 3)(y + 5)

y + 3 is common

Answer 19

yea second choice is correct