Using the appropriate symbols, write the following expressions in BASIC code:

In BASIC, multiplication is * and exponentiation is ^.
$4ac$ becomes 4 * A * C.
$6bc^3$ becomes 6 * B * C ^ 3.
$b^2$ becomes B ^ 2.

The fraction $\frac{6bc^3}{b^2}$ can be simplified to $\frac{6c^3}{b}$ (assuming $b \neq 0$).
So, $\frac{6bc^3}{b^2}$ becomes 6 * C ^ 3 / B.
The full expression $4ac + \frac{6c^3}{b}$ becomes:
4 * A * C + 6 * C ^ 3 / B

The numerator $ax^2 + bx + c$ becomes A * X ^ 2 + B * X + C.
It must be enclosed in parentheses for correct order of operations: (A * X ^ 2 + B * X + C).

The denominator $b^2 - 4ac$ becomes B ^ 2 - 4 * A * C.
It must also be enclosed in parentheses: (B ^ 2 - 4 * A * C).

The entire expression is the numerator divided by the denominator:
(A * X ^ 2 + B * X + C) / (B ^ 2 - 4 * A * C)