%5E2-as-a-trinomial-in-standard-form.jpeg "(x+11)^2 As A Trinomial In Standard Form")
Expanding (x + 11)² into a Trinomial
The expression (x + 11)² represents the square of a binomial. To expand it into a trinomial in standard form, we can use the following steps:
Understanding the Concept
The expression (x + 11)² is equivalent to multiplying (x + 11) by itself:
(x + 11)² = (x + 11)(x + 11)
Using the FOIL Method
To multiply the two binomials, we can use the FOIL method:
- First: x * x = x²
- Outer: x * 11 = 11x
- Inner: 11 * x = 11x
- Last: 11 * 11 = 121
Combining the terms, we get:
x² + 11x + 11x + 121
Simplifying the Trinomial
Finally, we combine the like terms to get the trinomial in standard form:
x² + 22x + 121
Conclusion
Therefore, the expansion of (x + 11)² as a trinomial in standard form is x² + 22x + 121.