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:

$$\boxed{{\displaystyle 24x^2-10x-6}}$$