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

2 min read Jun 17, 2024
(x+6)(x-4) Polynomial In Standard Form

Expanding and Simplifying (x + 6)(x - 4)

In this article, we will be expanding the polynomial (x + 6)(x - 4) and expressing it in standard form.

Expanding the Polynomial

To expand the polynomial, we can use the distributive property (also known as FOIL).

FOIL stands for:

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

Therefore, we have:

(x + 6)(x - 4) = x² - 4x + 6x - 24

Simplifying the Expression

Now, we combine the like terms:

x² - 4x + 6x - 24 = x² + 2x - 24

Standard Form

The polynomial is now in standard form, which is written in descending order of exponents:

x² + 2x - 24

This is the simplified form of the polynomial (x + 6)(x - 4).

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