College

What is the product?

[tex](4x)\left(-3x^8\right)\left(-7x^3\right)[/tex]

A. [tex]-84x^{12}[/tex]
B. [tex]-84x^{24}[/tex]
C. [tex]84x^{12}[/tex]
D. [tex]84x^{24}[/tex]

Answer :

To find the product
[tex]$$
(4x)\left(-3x^8\right)\left(-7x^3\right),
$$[/tex]
we can follow these steps:

1. Multiply the numerical coefficients:
[tex]$$
4 \times (-3) \times (-7) = 84.
$$[/tex]

2. Add the exponents of [tex]$x$[/tex] (recall that [tex]$x = x^1$[/tex]):
[tex]$$
1 + 8 + 3 = 12.
$$[/tex]

3. Combine the results to express the product:
[tex]$$
84x^{12}.
$$[/tex]

Thus, the product is
[tex]$$
84x^{12}.
$$[/tex]