anonymous one year ago Please help me simplify. v^2 + 2v - 24 / 3v^2 - 33v + 84

1. welshfella

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.

2. welshfella

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

3. campbell_st

start by looking at the denominator and factoring out 3

4. campbell_st

$\frac{v^2 +2v -24}{3(v^2 - 11v + 24)}$ 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.