Question

I need help on how to solve ( x2-5x-12) ÷ (x+3)

Answer 1

x - 8 +
`(12)/(x+3)`

Explanation:

One way to do the division is to use the divisor as a factor in the numerator

Consider the numerator

x(x + 3) - 3x - 5x - 12

= x(x + 3) - 8(x + 3) + 24 - 12

= x(x + 3) - 8(x + 3) + 12

quotient = x - 8 and remainder = 12

`(x^2-5x-12)/(x+3)` = x - 8 +
`(12)/(x+3)`