(x-4)-polynomial-in-standard-form.jpeg "(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).