1. (3x + 4)(x – 2)
A)3x^2 – 2x – 8
B)x – 8
C)3x – 2x – 8 ***
D)3x^2 + 2x + 8
nope: what is 3x * x ?
3x?
nope, 3x^2
x^4 * x = x^5 add exponents when multiplying
Okay, so is it D?
Or A?
you need to multiply these out. FOIL...I assume you have had that.
A is the answer.
To get the answer to the given expression (3x + 4)(x - 2), we can use the distributive property. This property states that when we multiply a term by a sum or difference of terms, we can distribute the multiplication to each term within the parentheses.
So, let's distribute the terms:
(3x + 4)(x - 2)
= 3x(x) + 3x(-2) + 4(x) + 4(-2) (multiply each term)
= 3x^2 - 6x + 4x - 8 (simplify by combining like terms)
= 3x^2 - 2x - 8
Therefore, the correct answer is C) 3x^2 - 2x - 8.