(x+12)(x-3) In Standard Form

Jasonbradley

less than a minute read

·

Jun 16, 2024

28

Share

Expanding (x+12)(x-3) into Standard Form

In mathematics, standard form for a quadratic expression is ax² + bx + c, where a, b, and c are constants. To express the product of (x+12)(x-3) in standard form, we need to expand the expression using the distributive property, also known as FOIL (First, Outer, Inner, Last).

Steps to Expand the Expression

1. Multiply the First terms:

   • x * x = x²

2. Multiply the Outer terms:

   • x * -3 = -3x

3. Multiply the Inner terms:

   • 12 * x = 12x

4. Multiply the Last terms:

   • 12 * -3 = -36

5. Combine the like terms:

   • x² - 3x + 12x - 36 = x² + 9x - 36

Standard Form

Therefore, the expression (x+12)(x-3) in standard form is x² + 9x - 36.