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

less than a minute read Jun 16, 2024
(x+12)(x-3) In Standard Form

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.

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