Question

How do you long divide $(x^2-x-12)÷(x-4)$?

Answer 1

Solve the expression $(x^2-x-12)÷(x-4)$ using long division:

Multiply $(x-4)\mathrm{by}x$ and subtract the result from $x^2-x-12$:

$(x-4)x{x}^2-x-12\underline{x^2-4x}3x-12$

Multiply $x-4\mathrm{by}3$ and subtract the result from $3x-12$:

$x-4x+3x^2-x-12\underline{x^2-4x}3x-12\underline{3x-12}0$

Hence, the expression $(x^2-x-12)÷(x-4)$ is simplified as $x+3$.