Question

Please help me simplify.
v^2 + 2v - 24 / 3v^2 - 33v + 84

Answer 1

Ok first see if you can factor the numerator
to do this you need to think of 2 numbers with a product of -24 and a sum of + 2.

Answer 2

taking the numbers to be a and b the factors will look like
(x + a)(x + b)

Answer 3

start by looking at the denominator and factoring out 3

Answer 4

\[\frac{v^2 +2v -24}{3(v^2 - 11v + 24)}\]

then factor each quadratic...

for the numerator find the factors of -24 that add to 2... the larger factor is positive

for the denominator find the factors of 24 that add to - 11, both factors are negative.

then see if there are any common factors that can be removed.