The missing two terms Erica is looking for are: Choose the correct answer from the following
a) -15x, 8x
b) -13x, 7x
c) -6x, -x
The expression factors to:
a) (x-4) (6x +5)
b) (3x +4) (2x -5)
c) (x+4) (6x -5)
d) (3x -4) (2x +5)
To find the missing two terms, we need to multiply the factors given and see which one matches the expression. Let's multiply the factors given for each option:
a) (x-4) (6x +5) = 6x^2 + x - 24x - 20 = 6x^2 - 23x - 20
b) (3x +4) (2x -5) = 6x^2 - 15x + 8x - 20 = 6x^2 - 7x - 20
c) (x+4) (6x -5) = 6x^2 - 5x + 24x - 20 = 6x^2 + 19x - 20
d) (3x -4) (2x +5) = 6x^2 + 15x - 8x - 20 = 6x^2 + 7x - 20
Comparing the resulting expressions, we can see that option b) (3x +4) (2x -5) = 6x^2 - 7x - 20 matches the expression given. Therefore, the missing two terms are -13x and 7x.