Question

G(x) = (x + 3)(x - 1)(x - 4)

Answer 1

To solve the expression (x + 3)(x - 1)(x - 4), we can simplify it by distributing and combining like terms. The simplified form of the expression g(x) = (x + 3)(x - 1)(x - 4) is g(x) =
`x^3` -
`5x^2` + 7x - 12.

The given expression is g(x) = (x + 3)(x - 1)(x - 4). To solve this expression, we can use the distributive property.

1. First, distribute (x + 3) to (x - 1) and (x - 4). This gives us (
   `x^2`- x + 3x - 3) times (x - 4).
2. Next, distribute the result of step 1 to (x - 4). This gives us (
   `x^2` - x + 3x - 3)(x - 4).
3. We can now simplify the expression by multiplying the terms together. This gives us g(x) =
   `x^3` -
   `4x^2` -
   `x^2` + 4x + 3x - 12.
4. Combining like terms, we get g(x) =
   `x^3` -
   `5x^2` + 7x - 12.

So, the simplified form of the expression g(x) = (x + 3)(x - 1)(x - 4) is g(x) =
`x^3` -
`5x^2` + 7x - 12.

The probable question can be: Solve and find the simplified form of the given expression- g(x) = (x + 3)(x - 1)(x - 4)