In dividing 2 Quadratics (eg. x^2+5x+4 and x^2+4x+3 (not these, these are just examples ) my friend pointed out that if you remove the squared on the x and the 4x (e. g) and keep the final to make (x+4)/(x+3). And then find the highest common factor in them (3 and 4) then divide them by it (in this example its one) so the final answer is (x+4)/(x+3). How can you prove this method is wrong/correct?

Desmond wants to sell his car that he paid $8,000 for 2 years ago. the car depreciated, or decreased in value, at a constant rate each month over a 2-year period. if x represents the monthly depreciation amount, which expression shows how much desmond can sell his car for today? 8,000 + 24x 8,000 - 24x 8,000 + 2x 8,000 - 2xdesmond wants to sell his car that he paid $8,000 for 2 years ago. the car depreciated, or decreased in value, at a constant rate each month over a 2-year period. if x represents the monthly depreciation amount, which expression shows how much desmond can sell his car for today? 8,000 + 24x 8,000 - 24x 8,000 + 2x 8,000 - 2x