Hello there! With finding the area of the rectangle in this scenario, we have to multiply binomials by doing distribution or in this case, the FOIL method. This means, multiply the terms by the first terms of each parenthesis, the outer terms of the parenthesis, inner terms of the parenthesis, and the last terms in both parenthesis. It's a bit like regular distribution. Set it up like this:
(4x - 7)(x + 3)
Now, multiply the terms. 4x * x is 4x². 4x * 3 is 12x. -7 * x is -7x. -7 * 3 is -21. Combine like terms in order to get 4x² + 5x - 21. The answer is D.
Note: If there is a negative in front of the number you are multiplying, you incorporate the negative in that number. x² is there, because two x's are being multiplied together. Be sure to incorporate these steps and solve the right way and be aware of the symbols. Otherwise, you might make a mistake.
You need to expand (4x-7)(x+3), multiplying each term in the first bracket by each term in the second bracket, in order to get 4x^2+5x-21. Hope that helps!
