Find the product: W×G W=3x−2 and G=4x−1

Question

(1 point) Responses
12x2−5x−2
12x2−11x+2
7x2−9x−2
x2−10x+2

Answer 1

To find the product \( W \times G \) where \( W = 3x - 2 \) and \( G = 4x - 1 \), we can use the distributive property (also known as the FOIL method for binomials).

Let's calculate:

\[ W \times G = (3x - 2)(4x - 1) \]

Now, we apply the distributive property:

1. First: \( 3x \times 4x = 12x^2 \)
2. Outer: \( 3x \times (-1) = -3x \)
3. Inner: \( -2 \times 4x = -8x \)
4. Last: \( -2 \times (-1) = 2 \)

Now, combine all these results:

\[ W \times G = 12x^2 - 3x - 8x + 2 \]

Combine the like terms (the \( x \) terms):

\[ 12x^2 - 11x + 2 \]

So the final product is:

\[ 12x^2 - 11x + 2 \]

From the options given, the correct response is:

12x² - 11x + 2