## Expanding (x - 4)(x + 7) to Standard Form

To express the product of the binomials (x - 4)(x + 7) in standard form, we can use the **FOIL method** (First, Outer, Inner, Last). This method helps us systematically multiply each term in the first binomial by each term in the second binomial.

### Applying the FOIL Method

**First:**Multiply the first terms of each binomial: x * x =**x²****Outer:**Multiply the outer terms of the binomials: x * 7 =**7x****Inner:**Multiply the inner terms of the binomials: -4 * x =**-4x****Last:**Multiply the last terms of each binomial: -4 * 7 =**-28**

### Combining Like Terms

Now, we have: x² + 7x - 4x - 28

Combining the like terms (7x and -4x), we get:

x² + 3x - 28

### Standard Form

Therefore, the standard form of the product (x - 4)(x + 7) is **x² + 3x - 28**.