Multiply. Express your answer as a polynomial in standard form. (1 point)

Question

(6x+2)(4x−3)=

Answer 1

To multiply the polynomials \( (6x + 2)(4x - 3) \), we can use the distributive property (also known as the FOIL method for binomials).

1. Multiply the first terms: \[ 6x \cdot 4x = 24x^2 \]

2. Multiply the outer terms: \[ 6x \cdot (-3) = -18x \]

3. Multiply the inner terms: \[ 2 \cdot 4x = 8x \]

4. Multiply the last terms: \[ 2 \cdot (-3) = -6 \]

Now, we combine all these results: \[ 24x^2 - 18x + 8x - 6 \]

Next, combine the like terms \(-18x\) and \(8x\): \[ 24x^2 - 10x - 6 \]

Finally, the result in standard form is: \[ \boxed{24x^2 - 10x - 6} \]