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

Question

asked Jan 4, 2019 38.8k views

1 Answer

Parthagar · Answer 1 · 2019-01-11T20:04:58+0000

Answer:

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)