(3x+4)(x-2)
A. 3x2-2x-8
B. x-8
C. 3x-2x-8
D. 3x2+2x+8
Solution:
Using the FOIL method:
(3x+4)(x-2) = 3x(x) + 3x(-2) + 4(x) + 4(-2)
Simplifying:
= 3x² - 6x + 4x - 8
= 3x² - 2x - 8
Therefore, the answer is (A) 3x²-2x-8.
A. 3x2-2x-8
B. x-8
C. 3x-2x-8
D. 3x2+2x+8
Using the FOIL method:
(3x+4)(x-2) = 3x(x) + 3x(-2) + 4(x) + 4(-2)
Simplifying:
= 3x² - 6x + 4x - 8
= 3x² - 2x - 8
Therefore, the answer is (A) 3x²-2x-8.