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

Question

(6x+2)(4x−3)=
(
6
𝑥
+
2
)
(
4
𝑥
−
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):

\[ (6x + 2)(4x - 3) = 6x(4x) + 6x(-3) + 2(4x) + 2(-3) \]

Now we calculate each term:

1. \(6x \cdot 4x = 24x^2\)
2. \(6x \cdot (-3) = -18x\)
3. \(2 \cdot 4x = 8x\)
4. \(2 \cdot (-3) = -6\)

Now, we combine these results:

\[ 24x^2 - 18x + 8x - 6 \]

Next, we combine the like terms \(-18x\) and \(8x\):

\[ 24x^2 + (-18x + 8x) - 6 = 24x^2 - 10x - 6 \]

Thus, the product \((6x + 2)(4x - 3)\) expressed as a polynomial in standard form is:

\[ \boxed{24x^2 - 10x - 6} \]