Question

x^2-3x - 28 by x -7 divided

Answer 1

This is your solution

Answer 2

$\boxed{ \bold{ \: \frac{ {x}^{2} - 3x - 28}{ x - 7} }} \\ \\ \\ \boxed{ \bold{ \: \rightarrow \: \: \: \: \frac{ {x}^{2} - (7 - 4)x - 28}{x - 7} }} \\ \\ \\ \boxed{ \: \bold{ \rightarrow \: \: \: \frac{ {x}^{2} - 7x + 4x - 28}{x - 7} }} \\ \\ \\ \boxed{ \: \bold{ \rightarrow \: \: \: \: \: \frac{x(x - 7) + 4(x - 7)}{x - 7} }} \\ \\ \\ \boxed{ \bold{ \rightarrow \: \frac{(x - 7)(x + 4)}{ x - 7} }} \\ \\ \\ \boxed{ \bold{ \rightarrow \: \frac{ \cancel{(x - 7)}(x + 4)}{ \cancel{x - 7}} }} \\ \\ \\ \boxed{\bold{ = > \: x + 4}}$