(x+3)(x+4) In Standard Form

Jasonbradley

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Jun 16, 2024

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Expanding and Simplifying (x+3)(x+4) to Standard Form

In mathematics, standard form refers to a specific way of writing a polynomial expression. For a quadratic expression, the standard form is ax² + bx + c, where 'a', 'b', and 'c' are constants.

Let's expand and simplify the expression (x+3)(x+4) to achieve its standard form:

Expanding the Expression

We can use the FOIL method (First, Outer, Inner, Last) to expand the product:

• First: x * x = x²
• Outer: x * 4 = 4x
• Inner: 3 * x = 3x
• Last: 3 * 4 = 12

Combining these terms, we get: x² + 4x + 3x + 12

Simplifying to Standard Form

Now, we can combine the like terms (4x and 3x) to achieve the standard form:

x² + 7x + 12

Therefore, the standard form of the expression (x+3)(x+4) is x² + 7x + 12.