Question

The area of a rectangle is found by multiplying the length by the width: A = lw. A certain rectangle has an area of x2 + 7x + 12. Factor the trinomial to find the length and width of the rectangle.

Answer 1

x^2+7x+12 can be done by factoring as a process of ax^2+bx+c, whereas a is equal to 1.

First, we need to know 2 numbers that multiply to 12 and add to 7. In that case, that would be 6 and 2. And then finally write the variable x in the first parts of the parentheses, that would be: (x+6)(x+2).

Answer 2

l = x + 6; w = x + 2

(for people that want a simpler answer)