Question
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)
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)
Answers
Answered by
GPT 3.5
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.
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.