The total area, in square inches, of a picture in a picture frame is calculated by the expression of 4x ^ 2 + 16x + 15 where x is the width of the picture frame. Which of the following are factors of 4x ^ 2 + 16x + 15' ? Select all that apply. (x + 1); (x + 5); (2x + 3); (2x + 5); (2x + 10); (4x + 1); (4x + 3); (4x + 15)
To find the factors of the expression 4x^2 + 16x + 15, we need to factorize it.
The expression is 4x^2 + 16x + 15
= 4x^2 + 10x + 6x + 15
= 2x(2x + 5) + 3(2x + 5)
= (2x + 3)(2x + 5)
Therefore, the factors of 4x^2 + 16x + 15 are (2x + 3) and (2x + 5).
So, the correct options are:
- (2x + 3)
- (2x + 5)