(x-4)(x-6) Polynomial In Standard Form

Jasonbradley

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Jun 17, 2024

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Expanding the Polynomial (x-4)(x-6)

In mathematics, a polynomial in standard form is written in descending order of exponents. To express the polynomial (x-4)(x-6) in standard form, we need to expand the product and then arrange the terms.

Expanding the Product

We can expand the product (x-4)(x-6) using the FOIL method:

• First: Multiply the first terms of each binomial: x * x = x²
• Outer: Multiply the outer terms: x * -6 = -6x
• Inner: Multiply the inner terms: -4 * x = -4x
• Last: Multiply the last terms: -4 * -6 = 24

Combining these terms, we get:

x² - 6x - 4x + 24

Simplifying to Standard Form

Combining the like terms (-6x and -4x) gives us:

x² - 10x + 24

Therefore, the polynomial (x-4)(x-6) expressed in standard form is x² - 10x + 24.